Projectdetail

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class="container-content"> <div class="row"> <div class="col-12 col-md-10 offset-md-1"> <div class="frame frame-type-list"> <div class="segment scheme-light content"> <div class="container-content"> <div class="row"> <div class="col-12 col-md-10 offset-md-1"> <div id="c12590" class="frame frame-type-text"> <a id="c12591" class="l10n"></a> <p>  </p> </div> </div> </div> </div> </div> <div class="fwf-searchbar"> <div class="fwf-project--detail row"> <div class="project--header"> <div class="page-header"> <div class="page-header-title" role="heading"> <h1>Symbolic dynamics and arithmetic expansions</h1> </div> </div> <div class="page-header page-header-small"> <div class="page-header-subtitle" role="heading"> <h2>Symbolic dynamics and arithmetic expansions</h2> </div> </div> <div class="project--team-leader"> <span class="list-group--project-value">Jörg Maximilian Thuswaldner</span> <span class="list-group-item fwf--icon icon--project-manager-orcid">(<span class="list-group--project-label" data-label="project-manager-orcid">ORCID: </span><span class="list-group--project-value"><a href="https://orcid.org/0000-0001-5308-762X" target="_blank" rel="noreferrer" aria-label="0000-0001-5308-762X — opens in a new window">0000-0001-5308-762X</a></span>)</span> </div> </div> <aside class="col-xs-12 col-md-4"> <ul class="list-group list-group--project"> <li class="list-group-item fwf--icon icon--project-grantdoi"> <span class="list-group--project-label" data-label="grant-doi">Grant DOI</span> <span class="list-group--project-value">10.55776/I6750</span> </li> <li class="list-group-item fwf--icon icon--project-funding"> <span class="list-group--project-label" data-label="funding-program">Funding program</span> <span class="list-group--project-value">Principal Investigator Projects International</span> </li> <li class="list-group-item fwf--icon icon--project-status"> <span class="list-group--project-label" data-label="project-status">Status</span> <span class="list-group--project-value">ongoing</span> </li> <li class="list-group-item fwf--icon icon--project-start"> <span class="list-group--project-label" data-label="project-start">Start</span> <span class="list-group--project-value">January 1, 2024</span> </li> <li class="list-group-item fwf--icon icon--project-end"> <span class="list-group--project-label" data-label="project-end">End</span> <span class="list-group--project-value">December 31, 2027</span> </li> <li class="list-group-item fwf--icon icon-cumulative--funding"> <span class="list-group--project-label" data-label="project-funding-amount">Funding amount</span> <span class="list-group--project-value">€ 348,558</span> </li> <li class="list-group-item has--no-value fwf--icon icon--project-weblink"> <span class="list-group--project-label" data-label="project-weblink"> <a target="_blank" href="http://institute.unileoben.ac.at/mathstat/personal/thuswaldner.htm">Project website</a> </span> </li> <li class="list-group-item has--no-value fwf--icon icon--email"> <span class="list-group--project-label" data-label="project-leader-email"> <a href="mailto:joerg.thuswaldner@unileoben.ac.at" target="_blank"> E-mail </a> </span> </li> </ul> </aside> <div class="fwf-project--detail-body col-xs-12 col-md-8"> <h3>Disciplines</h3> <p>Mathematics (100%)</p> <h3>Keywords</h3> <p> <ul class="list-group"> Interval Exchange, Continued Fractions, Shift Spaces, Normal Numbers </ul> </p> <sl-tab-group id="project-result" role="tablist"> <sl-tab slot="nav" panel="tablist--abstract" role="tab" aria-selected="true"> Abstract </sl-tab> <sl-tab-panel name="tablist--abstract" role="tabpanel"> <p style="height: 15rem; overflow: hidden; overflow-y: auto;">A dynamical system is a mathematical model of a time-dependent process. Classic examples are the movement of a pendulum, the movement of a planet in the solar system or so-called predator-prey systems. Dynamical systems also play a major role in pure mathematics. For example, representations of numbers using digits (such as in the decimal system or the binary system, which is particularly important in computer science) or so-called continued fractions can be modeled using dynamical systems. The study of such "arithmetic" dynamical systems has a long tradition in both France and Austria, which is also characterized by intensive cooperation between researchers from both countries. This project aims to further strengthen this cooperation. In an ambitious four-year program, new results are to be achieved in the field of arithmetic dynamical systems, the significance of which goes far beyond applications in mathematics and extends, for example, into computer science or physics. The organization of international conferences and workshops is also intended to facilitate an intensive exchange of scientists from all over the world in order to provide further incentives for future research in this important field.</p> </sl-tab-panel> </sl-tab-group> <div class="accordion"> <div class="accordion-item"> <div class="accordion-header" role="heading"> Research institution(s) </div> <div class="accordion-content"> <ul class="list-group list-group--factsheet-research-sites"> <li class="list-group-item"><a href="https://ror.org/00d7xrm67" target="_blank">Technische Universität Graz </a> - 20%</li> <li class="list-group-item"><a href="https://ror.org/02fhfw393" target="_blank">Montanuniversität Leoben </a> - 60%</li> <li class="list-group-item"><a href="https://ror.org/03prydq77" target="_blank">Universität Wien </a> - 20%</li> </ul> </div> </div> </div> <div class="accordion"> <div class="accordion-item"> <div class="accordion-header" role="heading"> Project participants </div> <div class="accordion-content"> <ul class="list-group list-group--participants-national"> <li class="list-group-item"><a href="https://ror.org/00d7xrm67" target="_blank">Peter Grabner, Technische Universität Graz </a>, associated research partner</li> <li class="list-group-item"><a href="https://ror.org/03prydq77" target="_blank">Hendrik Bruin, Universität Wien </a>, associated research partner</li> </ul> </div> </div> </div> <div class="accordion"> <div class="accordion-item"> <div class="accordion-header" role="heading"> International project participants </div> <div class="accordion-content"> <ul class="list-group list-group--participants-international"> <li class="list-group-item"><a href="https://ror.org/0081fs513" target="_blank">Verónica Becher, Universidad de Buenos Aires </a> - Argentina</li> <li class="list-group-item"><a href="https://ror.org/03kgsv495" target="_blank">Boris Solomyak, Bar-Ilan University </a> - Israel</li> <li class="list-group-item">Shigeki Akiyama, 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