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develped calculus for fractal curves. We consider only unbiased random walk on the fractal stucture and find out the corresponding probability distribution which is gaussian like in nature, but shows deviation from the standard behaviour. Moments are calculated in terms of Euclidean distance for a von Koch curve. We also analyse Levy distribution on the same fractal structure, where the dimension of the fractal curve shows significant contribution to the distrubution law by modyfying the nature of moments. The appendix gives a short note on Fourier transform on fractal curves.","publication_date":"2019,,","publication_name":"Chaos, Solitons \u0026amp; Fractals","grobid_abstract_attachment_id":"108862332"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Random walk and broad distributions on fractal curves","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [284311925]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":108862332,"attachmentType":"pdf"}"><img alt="First page of “Random walk and broad distributions on fractal curves”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/108862332/mini_magick20231213-1-idgw3e.png?1702436823" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/assets/single_work_splash/adobe.icon-574afd46eb6b03a77a153a647fb47e30546f9215c0ee6a25df597a779717f9ef.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Random walk and broad distributions on fractal curves</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="284311925" href="https://independent.academia.edu/anilgangal"><img alt="Profile image of anil gangal" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/284311925/132084578/121504878/s65_anil.gangal.png" />anil gangal</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2019, Chaos, Solitons &amp; 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Forcrand</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of Physics A: Mathematical and General, 1988</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Critical behaviour of the Edwards random walk in two dimensions: a case where the fractal and Hausdorff dimensions are not equal","attachmentId":50479827,"attachmentType":"pdf","work_url":"https://www.academia.edu/30024492/Critical_behaviour_of_the_Edwards_random_walk_in_two_dimensions_a_case_where_the_fractal_and_Hausdorff_dimensions_are_not_equal","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/30024492/Critical_behaviour_of_the_Edwards_random_walk_in_two_dimensions_a_case_where_the_fractal_and_Hausdorff_dimensions_are_not_equal"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="11" data-entity-id="19215337" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/19215337/Multifractal_stationary_random_measures_and_multifractal_random_walks_with_log_infinitely_divisible_scaling_laws">Multifractal stationary random measures and multifractal random walks with log infinitely divisible scaling laws</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="39443311" href="https://independent.academia.edu/Jeanfran%C3%A7oisMuzy">Jean-françois Muzy</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical Review E, 2002</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Multifractal stationary random measures and multifractal random walks with log infinitely divisible scaling laws","attachmentId":40495609,"attachmentType":"pdf","work_url":"https://www.academia.edu/19215337/Multifractal_stationary_random_measures_and_multifractal_random_walks_with_log_infinitely_divisible_scaling_laws","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/19215337/Multifractal_stationary_random_measures_and_multifractal_random_walks_with_log_infinitely_divisible_scaling_laws"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="12" data-entity-id="70150091" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/70150091/LE_JOURNAL_DE_PHYSIQUE_Self_avoiding_walks_on_fractal_spaces">LE JOURNAL DE PHYSIQUE Self-avoiding walks on fractal spaces</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="48874348" href="https://independent.academia.edu/JVannimenus">J. Vannimenus</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2014</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"LE JOURNAL DE PHYSIQUE Self-avoiding walks on fractal spaces","attachmentId":80004792,"attachmentType":"pdf","work_url":"https://www.academia.edu/70150091/LE_JOURNAL_DE_PHYSIQUE_Self_avoiding_walks_on_fractal_spaces","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/70150091/LE_JOURNAL_DE_PHYSIQUE_Self_avoiding_walks_on_fractal_spaces"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" 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href="https://www.academia.edu/86049621/L_p_variations_for_multifractal_fractional_random_walks">L p -variations for multifractal fractional random walks</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="23075950" href="https://ucv.academia.edu/CarinLudena">Carin Ludena</a></div><p class="ds-related-work--metadata ds2-5-body-xs">The Annals of Applied Probability, 2008</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"L p -variations for multifractal fractional random walks","attachmentId":90587567,"attachmentType":"pdf","work_url":"https://www.academia.edu/86049621/L_p_variations_for_multifractal_fractional_random_walks","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span 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Nyberg</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Stochastics An International Journal of Probability and Stochastic Processes, 1995</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Brownian motion on simple fractal spaces","attachmentId":71197968,"attachmentType":"pdf","work_url":"https://www.academia.edu/55227776/Brownian_motion_on_simple_fractal_spaces","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/55227776/Brownian_motion_on_simple_fractal_spaces"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 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