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name="order"><option selected value="-announced_date_first">Announcement date (newest first)</option><option value="announced_date_first">Announcement date (oldest first)</option><option value="-submitted_date">Submission date (newest first)</option><option value="submitted_date">Submission date (oldest first)</option><option value="">Relevance</option></select> </span> </div> <div class="control"> <button class="button is-small is-link">Go</button> </div> </div> </form> </div> </div> <ol class="breathe-horizontal" start="1"> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2409.05261">arXiv:2409.05261</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2409.05261">pdf</a>, <a href="https://arxiv.org/format/2409.05261">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Plasma Physics">physics.plasm-ph</span> </div> </div> <p class="title is-5 mathjax"> Integrating Novel Stellarator Single-Stage Optimization Algorithms to Design the Columbia Stellarator Experiment </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Baillod%2C+A">A. Baillod</a>, <a href="/search/physics?searchtype=author&amp;query=Paul%2C+E+J">E. J. Paul</a>, <a href="/search/physics?searchtype=author&amp;query=Rawlinson%2C+G">G. Rawlinson</a>, <a href="/search/physics?searchtype=author&amp;query=Haque%2C+M">M. Haque</a>, <a href="/search/physics?searchtype=author&amp;query=Freiberger%2C+S+W">S. W. Freiberger</a>, <a href="/search/physics?searchtype=author&amp;query=Thapa%2C+S">S. Thapa</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2409.05261v1-abstract-short" style="display: inline;"> The Columbia Stellarator eXperiment (CSX), currently being designed at Columbia University, aims to test theoretical predictions related to QA plasma behavior, and to pioneer the construction of an optimized stellarator using three-dimensional, non-insulated high-temperature superconducting (NI-HTS) coils. The magnetic configuration is generated by a combination of two circular planar poloidal fie&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2409.05261v1-abstract-full').style.display = 'inline'; document.getElementById('2409.05261v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2409.05261v1-abstract-full" style="display: none;"> The Columbia Stellarator eXperiment (CSX), currently being designed at Columbia University, aims to test theoretical predictions related to QA plasma behavior, and to pioneer the construction of an optimized stellarator using three-dimensional, non-insulated high-temperature superconducting (NI-HTS) coils. The magnetic configuration is generated by a combination of two circular planar poloidal field (PF) coils and two 3D-shaped interlinked (IL) coils, with the possibility to add windowpane coils to enhance shaping and experimental flexibility. The PF coils and vacuum vessel are repurposed from the former Columbia Non-Neutral Torus (CNT) experiment, while the IL coils will be custom-wound in-house using NI-HTS tapes. To obtain a plasma shape that meets the physics objectives with a limited number of coils, novel single-stage optimization techniques are employed, optimizing both the plasma and coils concurrently, in particular targeting a tight aspect ratio QA plasma and minimized strain on the HTS tape. Despite the increased complexity due to the expanded degrees of freedom, these methods successfully identify optimized plasma geometries that can be realized by coils meeting engineering specifications. This paper discusses the derivation of the constraints and objectives specific to CSX, and describe how two recently developed single-stage optimization methodologies are applied to the design of CSX. A set of selected configurations for CSX is then described in detail. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2409.05261v1-abstract-full').style.display = 'none'; document.getElementById('2409.05261v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 September, 2024; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2024. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">36 pages, 12 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2310.12718">arXiv:2310.12718</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2310.12718">pdf</a>, <a href="https://arxiv.org/format/2310.12718">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Soft Condensed Matter">cond-mat.soft</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Biological Physics">physics.bio-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.21468/SciPostPhys.17.4.096">10.21468/SciPostPhys.17.4.096 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Nonequilibrium Probability Currents in Optically-Driven Colloidal Suspensions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Thapa%2C+S">Samudrajit Thapa</a>, <a href="/search/physics?searchtype=author&amp;query=Zaretzky%2C+D">Daniel Zaretzky</a>, <a href="/search/physics?searchtype=author&amp;query=Vatash%2C+R">Ron Vatash</a>, <a href="/search/physics?searchtype=author&amp;query=Gradziuk%2C+G">Grzegorz Gradziuk</a>, <a href="/search/physics?searchtype=author&amp;query=Broedersz%2C+C">Chase Broedersz</a>, <a href="/search/physics?searchtype=author&amp;query=Shokef%2C+Y">Yair Shokef</a>, <a href="/search/physics?searchtype=author&amp;query=Roichman%2C+Y">Yael Roichman</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2310.12718v2-abstract-short" style="display: inline;"> In the absence of directional motion it is often hard to recognize athermal fluctuations. Probability currents provide such a measure in terms of the rate at which they enclose area in the reduced phase space. We measure this area enclosing rate for trapped colloidal particles, where only one particle is driven. By combining experiment, theory, and simulation, we single out the effect of the diffe&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2310.12718v2-abstract-full').style.display = 'inline'; document.getElementById('2310.12718v2-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2310.12718v2-abstract-full" style="display: none;"> In the absence of directional motion it is often hard to recognize athermal fluctuations. Probability currents provide such a measure in terms of the rate at which they enclose area in the reduced phase space. We measure this area enclosing rate for trapped colloidal particles, where only one particle is driven. By combining experiment, theory, and simulation, we single out the effect of the different time scales in the system on the measured probability currents. In this controlled experimental setup, particles interact hydrodynamically. These interactions lead to a strong spatial dependence of the probability currents and to a local influence of athermal agitation. In a multiple-particle system, we show that even when the driving acts only on one particle, probability currents occur between other, non-driven particles. This may have significant implications for the interpretation of fluctuations in biological systems containing elastic networks in addition to a suspending fluid. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2310.12718v2-abstract-full').style.display = 'none'; document.getElementById('2310.12718v2-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 15 July, 2024; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 19 October, 2023; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> October 2023. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">Submission to SciPost Physics</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> SciPost Phys. 17, 096 (2024) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2206.03818">arXiv:2206.03818</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2206.03818">pdf</a>, <a href="https://arxiv.org/format/2206.03818">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Probability">math.PR</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Data Analysis, Statistics and Probability">physics.data-an</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1063/5.0101913">10.1063/5.0101913 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Fractional Brownian motion with random Hurst exponent: accelerating diffusion and persistence transitions </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Balcerek%2C+M">Micha艂 Balcerek</a>, <a href="/search/physics?searchtype=author&amp;query=Burnecki%2C+K">Krzysztof Burnecki</a>, <a href="/search/physics?searchtype=author&amp;query=Thapa%2C+S">Samudrajit Thapa</a>, <a href="/search/physics?searchtype=author&amp;query=Wy%C5%82oma%C5%84ska%2C+A">Agnieszka Wy艂oma艅ska</a>, <a href="/search/physics?searchtype=author&amp;query=Chechkin%2C+A">Aleksei Chechkin</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2206.03818v2-abstract-short" style="display: inline;"> Fractional Brownian motion, a Gaussian non-Markovian self-similar process with stationary long-correlated increments, has been identified to give rise to the anomalous diffusion behavior in a great variety of physical systems. The correlation and diffusion properties of this random motion are fully characterized by its index of self-similarity, or the Hurst exponent. However, recent single particl&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.03818v2-abstract-full').style.display = 'inline'; document.getElementById('2206.03818v2-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2206.03818v2-abstract-full" style="display: none;"> Fractional Brownian motion, a Gaussian non-Markovian self-similar process with stationary long-correlated increments, has been identified to give rise to the anomalous diffusion behavior in a great variety of physical systems. The correlation and diffusion properties of this random motion are fully characterized by its index of self-similarity, or the Hurst exponent. However, recent single particle tracking experiments in biological cells revealed highly complicated anomalous diffusion phenomena that can not be attributed to a class of self-similar random processes. Inspired by these observations, we here study the process which preserves the properties of fractional Brownian motion at a single trajectory level, however, the Hurst index randomly changes from trajectory to trajectory. We provide a general mathematical framework for analytical, numerical and statistical analysis of fractional Brownian motion with random Hurst exponent. The explicit formulas for probability density function, mean square displacement and autocovariance function of the increments are presented for three generic distributions of the Hurst exponent, namely two-point, uniform and beta distributions. The important features of the process studied here are accelerating diffusion and persistence transition which we demonstrate analytically and numerically. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2206.03818v2-abstract-full').style.display = 'none'; document.getElementById('2206.03818v2-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 29 July, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 8 June, 2022; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> June 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">16 pages, 10 figures</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Chaos 32, 093114 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2201.00654">arXiv:2201.00654</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2201.00654">pdf</a>, <a href="https://arxiv.org/format/2201.00654">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Methodology">stat.ME</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Data Analysis, Statistics and Probability">physics.data-an</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1751-8121/ac60e7">10.1088/1751-8121/ac60e7 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Bayesian inference of scaled versus fractional Brownian motion </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Thapa%2C+S">Samudrajit Thapa</a>, <a href="/search/physics?searchtype=author&amp;query=Park%2C+S">Seongyu Park</a>, <a href="/search/physics?searchtype=author&amp;query=Kim%2C+Y">Yeongjin Kim</a>, <a href="/search/physics?searchtype=author&amp;query=Jeon%2C+J">Jae-Hyung Jeon</a>, <a href="/search/physics?searchtype=author&amp;query=Metzler%2C+R">Ralf Metzler</a>, <a href="/search/physics?searchtype=author&amp;query=Lomholt%2C+M+A">Michael A. Lomholt</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2201.00654v3-abstract-short" style="display: inline;"> We present a Bayesian inference scheme for scaled Brownian motion, and investigate its performance on synthetic data for parameter estimation and model selection in a combined inference with fractional Brownian motion. We include the possibility of measurement noise in both models. We find that for trajectories of a few hundred time points the procedure is able to resolve well the true model and p&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.00654v3-abstract-full').style.display = 'inline'; document.getElementById('2201.00654v3-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2201.00654v3-abstract-full" style="display: none;"> We present a Bayesian inference scheme for scaled Brownian motion, and investigate its performance on synthetic data for parameter estimation and model selection in a combined inference with fractional Brownian motion. We include the possibility of measurement noise in both models. We find that for trajectories of a few hundred time points the procedure is able to resolve well the true model and parameters. Using the prior of the synthetic data generation process also for the inference, the approach is optimal based on decision theory. We include a comparison with inference using a prior different from the data generating one. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2201.00654v3-abstract-full').style.display = 'none'; document.getElementById('2201.00654v3-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 12 May, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 30 December, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> January 2022. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">22 pages, 12 figures, IOP LaTeX, minor revisions</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> J. Phys. A: Math. Theor. 55, 194003 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2109.02683">arXiv:2109.02683</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2109.02683">pdf</a>, <a href="https://arxiv.org/ps/2109.02683">ps</a>, <a href="https://arxiv.org/format/2109.02683">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Atomic and Molecular Clusters">physics.atm-clus</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Chemical Physics">physics.chem-ph</span> </div> </div> <p class="title is-5 mathjax"> Time-Resolved Vibrational Spectroscopy to Measure Lifetime of the E$^3螤_g(v=3)$ state of Molecular Iodine </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Thapa%2C+S">Sanjib Thapa</a>, <a href="/search/physics?searchtype=author&amp;query=Pant%2C+L">Lok Pant</a>, <a href="/search/physics?searchtype=author&amp;query=Vamosi%2C+B">Briana Vamosi</a>, <a href="/search/physics?searchtype=author&amp;query=Saaranen%2C+M">Michael Saaranen</a>, <a href="/search/physics?searchtype=author&amp;query=Bayram%2C+S+B">S. Burcin Bayram</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2109.02683v1-abstract-short" style="display: inline;"> The lifetime of the $E^3螤_g(v=3)$ state of molecular iodine was measured in the gas phase at room temperature. The $E^3螤_g$ state was selectively populated by two sequential nanosecond pulse laser excitation. Resolved molecular fluorescence for the $B^3螤_u^+\leftarrow E^3螤_g$ was analyzed and the lifetime of the $E(v=3)$ state, measured using a time-correlated single photon counting technique, is&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2109.02683v1-abstract-full').style.display = 'inline'; document.getElementById('2109.02683v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2109.02683v1-abstract-full" style="display: none;"> The lifetime of the $E^3螤_g(v=3)$ state of molecular iodine was measured in the gas phase at room temperature. The $E^3螤_g$ state was selectively populated by two sequential nanosecond pulse laser excitation. Resolved molecular fluorescence for the $B^3螤_u^+\leftarrow E^3螤_g$ was analyzed and the lifetime of the $E(v=3)$ state, measured using a time-correlated single photon counting technique, is to be $蟿=21 (2)$ ns. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2109.02683v1-abstract-full').style.display = 'none'; document.getElementById('2109.02683v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 6 September, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> September 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">14 pages, 5 figures</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2107.06147">arXiv:2107.06147</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2107.06147">pdf</a>, <a href="https://arxiv.org/format/2107.06147">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Computational Physics">physics.comp-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="High Energy Physics - Phenomenology">hep-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Nuclear Theory">nucl-th</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantum Physics">quant-ph</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1016/j.cpc.2021.108266">10.1016/j.cpc.2021.108266 <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Omar%2C+H+B">Hisham Ba Omar</a>, <a href="/search/physics?searchtype=author&amp;query=Escobedo%2C+M+%C3%81">Miguel 脕ngel Escobedo</a>, <a href="/search/physics?searchtype=author&amp;query=Islam%2C+A">Ajaharul Islam</a>, <a href="/search/physics?searchtype=author&amp;query=Strickland%2C+M">Michael Strickland</a>, <a href="/search/physics?searchtype=author&amp;query=Thapa%2C+S">Sabin Thapa</a>, <a href="/search/physics?searchtype=author&amp;query=Griend%2C+P+V">Peter Vander Griend</a>, <a href="/search/physics?searchtype=author&amp;query=Weber%2C+J+H">Johannes Heinrich Weber</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2107.06147v2-abstract-short" style="display: inline;"> We introduce an open-source package called QTraj that solves the Lindblad equation for heavy-quarkonium dynamics using the quantum trajectories algorithm. The package allows users to simulate the suppression of heavy-quarkonium states using externally-supplied input from 3+1D hydrodynamics simulations. The code uses a split-step pseudo-spectral method for updating the wave-function between jumps,&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.06147v2-abstract-full').style.display = 'inline'; document.getElementById('2107.06147v2-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2107.06147v2-abstract-full" style="display: none;"> We introduce an open-source package called QTraj that solves the Lindblad equation for heavy-quarkonium dynamics using the quantum trajectories algorithm. The package allows users to simulate the suppression of heavy-quarkonium states using externally-supplied input from 3+1D hydrodynamics simulations. The code uses a split-step pseudo-spectral method for updating the wave-function between jumps, which is implemented using the open-source multi-threaded FFTW3 package. This allows one to have manifestly unitary evolution when using real-valued potentials. In this paper, we provide detailed documentation of QTraj 1.0, installation instructions, and present various tests and benchmarks of the code. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.06147v2-abstract-full').style.display = 'none'; document.getElementById('2107.06147v2-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 7 January, 2022; <span class="has-text-black-bis has-text-weight-semibold">v1</span> submitted 13 July, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">35 pages, 10 figures; v2 - minor typos fixed; published version</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Report number:</span> TUM-EFT 142/21; HU-EP-21/17-RTG </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> Computer Physics Communications 273, 108266 (2022) </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2107.05390">arXiv:2107.05390</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2107.05390">pdf</a>, <a href="https://arxiv.org/format/2107.05390">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Biological Physics">physics.bio-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Data Analysis, Statistics and Probability">physics.data-an</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> </div> </div> <p class="title is-5 mathjax"> Bayesian inference of L茅vy walks via hidden Markov models </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Park%2C+S">Seongyu Park</a>, <a href="/search/physics?searchtype=author&amp;query=Thapa%2C+S">Samudrajit Thapa</a>, <a href="/search/physics?searchtype=author&amp;query=Kim%2C+Y">Yeongjin Kim</a>, <a href="/search/physics?searchtype=author&amp;query=Lomholt%2C+M+A">Michael A. Lomholt</a>, <a href="/search/physics?searchtype=author&amp;query=Jeon%2C+J">Jae-Hyung Jeon</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2107.05390v1-abstract-short" style="display: inline;"> The L茅vy walk is a non-Brownian random walk model that has been found to describe anomalous dynamic phenomena in diverse fields ranging from biology over quantum physics to ecology. Recurrently occurring problems are to examine whether observed data are successfully quantified by a model classified as L茅vy walks or not and extract the best model parameters in accordance with the data. Motivated by&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.05390v1-abstract-full').style.display = 'inline'; document.getElementById('2107.05390v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2107.05390v1-abstract-full" style="display: none;"> The L茅vy walk is a non-Brownian random walk model that has been found to describe anomalous dynamic phenomena in diverse fields ranging from biology over quantum physics to ecology. Recurrently occurring problems are to examine whether observed data are successfully quantified by a model classified as L茅vy walks or not and extract the best model parameters in accordance with the data. Motivated by such needs, we propose a hidden Markov model for L茅vy walks and computationally realize and test the corresponding Bayesian inference method. We introduce a Markovian decomposition scheme to approximate a renewal process governed by a power-law waiting time distribution. Using this, we construct the likelihood function of L茅vy walks based on a hidden Markov model and the forward algorithm. With the L茅vy walk trajectories simulated at various conditions, we perform the Bayesian inference for parameter estimation and model classification. We show that the power-law exponent of the flight-time distribution can be successfully extracted even at the condition that the mean-squared displacement does not display the expected scaling exponent due to the noise or insufficient trajectory length. It is also demonstrated that the Bayesian method performs remarkably inferring the L茅vy walk trajectories from given unclassified trajectory data set if the noise level is moderate. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2107.05390v1-abstract-full').style.display = 'none'; document.getElementById('2107.05390v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 8 July, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> July 2021. </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2105.06766">arXiv:2105.06766</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2105.06766">pdf</a>, <a href="https://arxiv.org/format/2105.06766">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Data Analysis, Statistics and Probability">physics.data-an</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Soft Condensed Matter">cond-mat.soft</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Biological Physics">physics.bio-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1038/s41467-021-26320-w">10.1038/s41467-021-26320-w <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Objective comparison of methods to decode anomalous diffusion </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Mu%C3%B1oz-Gil%2C+G">Gorka Mu帽oz-Gil</a>, <a href="/search/physics?searchtype=author&amp;query=Volpe%2C+G">Giovanni Volpe</a>, <a href="/search/physics?searchtype=author&amp;query=Garcia-March%2C+M+A">Miguel Angel Garcia-March</a>, <a href="/search/physics?searchtype=author&amp;query=Aghion%2C+E">Erez Aghion</a>, <a href="/search/physics?searchtype=author&amp;query=Argun%2C+A">Aykut Argun</a>, <a href="/search/physics?searchtype=author&amp;query=Hong%2C+C+B">Chang Beom Hong</a>, <a href="/search/physics?searchtype=author&amp;query=Bland%2C+T">Tom Bland</a>, <a href="/search/physics?searchtype=author&amp;query=Bo%2C+S">Stefano Bo</a>, <a href="/search/physics?searchtype=author&amp;query=Conejero%2C+J+A">J. Alberto Conejero</a>, <a href="/search/physics?searchtype=author&amp;query=Firbas%2C+N">Nicol谩s Firbas</a>, <a href="/search/physics?searchtype=author&amp;query=Orts%2C+%C3%92+G+i">脪scar Garibo i Orts</a>, <a href="/search/physics?searchtype=author&amp;query=Gentili%2C+A">Alessia Gentili</a>, <a href="/search/physics?searchtype=author&amp;query=Huang%2C+Z">Zihan Huang</a>, <a href="/search/physics?searchtype=author&amp;query=Jeon%2C+J">Jae-Hyung Jeon</a>, <a href="/search/physics?searchtype=author&amp;query=Kabbech%2C+H">H茅l猫ne Kabbech</a>, <a href="/search/physics?searchtype=author&amp;query=Kim%2C+Y">Yeongjin Kim</a>, <a href="/search/physics?searchtype=author&amp;query=Kowalek%2C+P">Patrycja Kowalek</a>, <a href="/search/physics?searchtype=author&amp;query=Krapf%2C+D">Diego Krapf</a>, <a href="/search/physics?searchtype=author&amp;query=Loch-Olszewska%2C+H">Hanna Loch-Olszewska</a>, <a href="/search/physics?searchtype=author&amp;query=Lomholt%2C+M+A">Michael A. Lomholt</a>, <a href="/search/physics?searchtype=author&amp;query=Masson%2C+J">Jean-Baptiste Masson</a>, <a href="/search/physics?searchtype=author&amp;query=Meyer%2C+P+G">Philipp G. Meyer</a>, <a href="/search/physics?searchtype=author&amp;query=Park%2C+S">Seongyu Park</a>, <a href="/search/physics?searchtype=author&amp;query=Requena%2C+B">Borja Requena</a>, <a href="/search/physics?searchtype=author&amp;query=Smal%2C+I">Ihor Smal</a> , et al. (9 additional authors not shown) </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2105.06766v1-abstract-short" style="display: inline;"> Deviations from Brownian motion leading to anomalous diffusion are ubiquitously found in transport dynamics, playing a crucial role in phenomena from quantum physics to life sciences. The detection and characterization of anomalous diffusion from the measurement of an individual trajectory are challenging tasks, which traditionally rely on calculating the mean squared displacement of the trajector&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2105.06766v1-abstract-full').style.display = 'inline'; document.getElementById('2105.06766v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2105.06766v1-abstract-full" style="display: none;"> Deviations from Brownian motion leading to anomalous diffusion are ubiquitously found in transport dynamics, playing a crucial role in phenomena from quantum physics to life sciences. The detection and characterization of anomalous diffusion from the measurement of an individual trajectory are challenging tasks, which traditionally rely on calculating the mean squared displacement of the trajectory. However, this approach breaks down for cases of important practical interest, e.g., short or noisy trajectories, ensembles of heterogeneous trajectories, or non-ergodic processes. Recently, several new approaches have been proposed, mostly building on the ongoing machine-learning revolution. Aiming to perform an objective comparison of methods, we gathered the community and organized an open competition, the Anomalous Diffusion challenge (AnDi). Participating teams independently applied their own algorithms to a commonly-defined dataset including diverse conditions. Although no single method performed best across all scenarios, the results revealed clear differences between the various approaches, providing practical advice for users and a benchmark for developers. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2105.06766v1-abstract-full').style.display = 'none'; document.getElementById('2105.06766v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 14 May, 2021; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2021. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">63 pages, 5 main figures, 1 table, 28 supplementary figures. Website: http://www.andi-challenge.org</span> </p> </li> <li class="arxiv-result"> <div class="is-marginless"> <p class="list-title is-inline-block"><a href="https://arxiv.org/abs/2005.02099">arXiv:2005.02099</a> <span>&nbsp;[<a href="https://arxiv.org/pdf/2005.02099">pdf</a>, <a href="https://arxiv.org/ps/2005.02099">ps</a>, <a href="https://arxiv.org/format/2005.02099">other</a>]&nbsp;</span> </p> <div class="tags is-inline-block"> <span class="tag is-small is-link tooltip is-tooltip-top" data-tooltip="Statistical Mechanics">cond-mat.stat-mech</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Biological Physics">physics.bio-ph</span> <span class="tag is-small is-grey tooltip is-tooltip-top" data-tooltip="Quantitative Methods">q-bio.QM</span> </div> <div class="is-inline-block" style="margin-left: 0.5rem"> <div class="tags has-addons"> <span class="tag is-dark is-size-7">doi</span> <span class="tag is-light is-size-7"><a class="" href="https://doi.org/10.1088/1367-2630/abd50e">10.1088/1367-2630/abd50e <i class="fa fa-external-link" aria-hidden="true"></i></a></span> </div> </div> </div> <p class="title is-5 mathjax"> Leveraging large-deviation statistics to decipher the stochastic properties of measured trajectories </p> <p class="authors"> <span class="search-hit">Authors:</span> <a href="/search/physics?searchtype=author&amp;query=Thapa%2C+S">Samudrajit Thapa</a>, <a href="/search/physics?searchtype=author&amp;query=Wy%C5%82oma%C5%84ska%2C+A">Agnieszka Wy艂oma艅ska</a>, <a href="/search/physics?searchtype=author&amp;query=Sikora%2C+G">Grzegorz Sikora</a>, <a href="/search/physics?searchtype=author&amp;query=Wagner%2C+C+E">Caroline E. Wagner</a>, <a href="/search/physics?searchtype=author&amp;query=Krapf%2C+D">Diego Krapf</a>, <a href="/search/physics?searchtype=author&amp;query=Kantz%2C+H">Holger Kantz</a>, <a href="/search/physics?searchtype=author&amp;query=Chechkin%2C+A+V">Aleksei V. Chechkin</a>, <a href="/search/physics?searchtype=author&amp;query=Metzler%2C+R">Ralf Metzler</a> </p> <p class="abstract mathjax"> <span class="has-text-black-bis has-text-weight-semibold">Abstract</span>: <span class="abstract-short has-text-grey-dark mathjax" id="2005.02099v1-abstract-short" style="display: inline;"> Extensive time-series encoding the position of particles such as viruses, vesicles, or individual proteins are routinely garnered in single-particle tracking experiments or supercomputing studies. They contain vital clues on how viruses spread or drugs may be delivered in biological cells. Similar time-series are being recorded of stock values in financial markets and of climate data. Such time-se&hellip; <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2005.02099v1-abstract-full').style.display = 'inline'; document.getElementById('2005.02099v1-abstract-short').style.display = 'none';">&#9661; More</a> </span> <span class="abstract-full has-text-grey-dark mathjax" id="2005.02099v1-abstract-full" style="display: none;"> Extensive time-series encoding the position of particles such as viruses, vesicles, or individual proteins are routinely garnered in single-particle tracking experiments or supercomputing studies. They contain vital clues on how viruses spread or drugs may be delivered in biological cells. Similar time-series are being recorded of stock values in financial markets and of climate data. Such time-series are most typically evaluated in terms of time-average mean-squared displacements, which remain random variables for finite measurement times. Their statistical properties are different for different physical stochastic processes, thus allowing us to extract valuable information on the stochastic process itself. To exploit the full potential of the statistical information encoded in measured time-series we here propose an easy-to-implement and computationally inexpensive new methodology, based on deviations of the time-averaged mean-squared displacement from its ensemble average counterpart. Specifically, we use the upper bound of these deviations for Brownian motion to check the applicability of this approach to simulated and real data sets. By comparing the probability of deviations for different data sets, we demonstrate how the theoretical bound for Brownian motion reveals additional information about observed stochastic processes. We apply the large-deviation method to data sets of tracer beads tracked in aqueous solution, tracer beads measured in mucin hydrogels, and of geographic surface temperature anomalies. Our analysis shows how the large-deviation properties can be efficiently used as a simple yet effective routine test to reject the Brownian motion hypothesis and unveil crucial information on statistical properties such as ergodicity breaking and short-time correlations. <a class="is-size-7" style="white-space: nowrap;" onclick="document.getElementById('2005.02099v1-abstract-full').style.display = 'none'; document.getElementById('2005.02099v1-abstract-short').style.display = 'inline';">&#9651; Less</a> </span> </p> <p class="is-size-7"><span class="has-text-black-bis has-text-weight-semibold">Submitted</span> 5 May, 2020; <span class="has-text-black-bis has-text-weight-semibold">originally announced</span> May 2020. </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Comments:</span> <span class="has-text-grey-dark mathjax">16 pages, 11 figures, RevTeX</span> </p> <p class="comments is-size-7"> <span class="has-text-black-bis has-text-weight-semibold">Journal ref:</span> New J. Phys. 23 013008 (2021) </p> </li> </ol> <div class="is-hidden-tablet"> <!-- feedback for mobile only --> <span class="help" style="display: inline-block;"><a href="https://github.com/arXiv/arxiv-search/releases">Search v0.5.6 released 2020-02-24</a>&nbsp;&nbsp;</span> </div> </div> </main> <footer> <div class="columns is-desktop" role="navigation" aria-label="Secondary"> <!-- MetaColumn 1 --> <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul class="nav-spaced"> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg> <a href="https://info.arxiv.org/help/contact.html"> Contact</a> </li> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"/></svg> <a href="https://info.arxiv.org/help/subscribe"> Subscribe</a> </li> </ul> </div> </div> </div> <!-- end MetaColumn 1 --> <!-- MetaColumn 2 --> <div class="column"> <div class="columns"> <div class="column"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/license/index.html">Copyright</a></li> <li><a href="https://info.arxiv.org/help/policies/privacy_policy.html">Privacy Policy</a></li> </ul> </div> <div class="column sorry-app-links"> <ul class="nav-spaced"> <li><a href="https://info.arxiv.org/help/web_accessibility.html">Web Accessibility Assistance</a></li> <li> <p class="help"> <a class="a11y-main-link" href="https://status.arxiv.org" target="_blank">arXiv Operational Status <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 256 512" class="icon filter-dark_grey" role="presentation"><path d="M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z"/></svg></a><br> Get status notifications via <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/email/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg>email</a> or <a class="is-link" href="https://subscribe.sorryapp.com/24846f03/slack/new" target="_blank"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 448 512" class="icon filter-black" role="presentation"><path d="M94.12 315.1c0 25.9-21.16 47.06-47.06 47.06S0 341 0 315.1c0-25.9 21.16-47.06 47.06-47.06h47.06v47.06zm23.72 0c0-25.9 21.16-47.06 47.06-47.06s47.06 21.16 47.06 47.06v117.84c0 25.9-21.16 47.06-47.06 47.06s-47.06-21.16-47.06-47.06V315.1zm47.06-188.98c-25.9 0-47.06-21.16-47.06-47.06S139 32 164.9 32s47.06 21.16 47.06 47.06v47.06H164.9zm0 23.72c25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06H47.06C21.16 243.96 0 222.8 0 196.9s21.16-47.06 47.06-47.06H164.9zm188.98 47.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06s-21.16 47.06-47.06 47.06h-47.06V196.9zm-23.72 0c0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06V79.06c0-25.9 21.16-47.06 47.06-47.06 25.9 0 47.06 21.16 47.06 47.06V196.9zM283.1 385.88c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06-25.9 0-47.06-21.16-47.06-47.06v-47.06h47.06zm0-23.72c-25.9 0-47.06-21.16-47.06-47.06 0-25.9 21.16-47.06 47.06-47.06h117.84c25.9 0 47.06 21.16 47.06 47.06 0 25.9-21.16 47.06-47.06 47.06H283.1z"/></svg>slack</a> </p> </li> </ul> </div> </div> </div> <!-- end MetaColumn 2 --> </div> </footer> <script src="https://static.arxiv.org/static/base/1.0.0a5/js/member_acknowledgement.js"></script> </body> </html>

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