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modelled by self-avoiding walks (SAWs) on the backbone of percolation clusters in two, three and four dimensions is studied by numerical simulations. We apply the pruned-enriched Rosenbluth chain-growth method (PERM). Our numerical results yield estimates of critical exponents, governing the scaling laws of disorder averages of the configurational properties of SAWs, and clearly indicate a multifractal spectrum which emerges when two fractals meet each other.","publication_date":"2010,,","publication_name":"Physics Procedia","grobid_abstract_attachment_id":"101516306"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Fractals meet fractals: self-avoiding random walks on percolation clusters","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [67950298]; 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":101516306,"attachmentType":"pdf"}"><img alt="First page of “Fractals meet fractals: self-avoiding random walks on percolation clusters”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/101516306/mini_magick20230426-1-y6hby6.png?1682506313" /><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">Fractals meet fractals: self-avoiding random walks on percolation clusters</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="67950298" href="https://independent.academia.edu/ViktoriaBlavatska"><img alt="Profile image of Viktoria Blavatska" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/67950298/17659309/17704764/s65_viktoria.blavatska.jpg" />Viktoria Blavatska</a></div><p class="ds-work-card--detail ds2-5-body-sm">2010, Physics Procedia</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":101516306,"attachmentType":"pdf","workUrl":"https://www.academia.edu/100796622/Fractals_meet_fractals_self_avoiding_random_walks_on_percolation_clusters"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--work-card","attachmentId":101516306,"attachmentType":"pdf","workUrl":"https://www.academia.edu/100796622/Fractals_meet_fractals_self_avoiding_random_walks_on_percolation_clusters"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div></div><div data-auto_select="false" data-client_id="331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b" data-doc_id="101516306" data-landing_url="https://www.academia.edu/100796622/Fractals_meet_fractals_self_avoiding_random_walks_on_percolation_clusters" data-login_uri="https://www.academia.edu/registrations/google_one_tap" data-moment_callback="onGoogleOneTapEvent" id="g_id_onload"></div><div class="ds-top-related-works--grid-container"><div class="ds-related-content--container ds-top-related-works--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="0" data-entity-id="54413788" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/54413788/Multifractal_behavior_of_linear_polymers_in_disordered_media">Multifractal behavior of linear polymers in disordered media</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="101630805" href="https://independent.academia.edu/EduardoRoman28">Eduardo Roman</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Physical review. 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