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window.loswp.shouldDetectTimezone = true; window.loswp.shouldShowBulkDownload = true; window.loswp.showSignupCaptcha = false window.loswp.willEdgeCache = false; window.loswp.work = {"work":{"id":49182700,"created_at":"2021-06-09T03:43:23.794-07:00","from_world_paper_id":170279589,"updated_at":"2024-11-23T16:52:53.549-08:00","_data":{"publisher":"Springer Nature","grobid_abstract":"We present a family of exact fractals with a wide range of fractal and fracton dimensionalities. This includes the case of the fracton dimensionality of 2, which is critical for diffusion. This is achieved by adjusting the scaling factor as well as an internal geometrical parameter of the fractal. These fractals include the cases of finite and infinite ramification characterized by a ramification exponent p~ The infinite ramification makes the problem of percolation on these lattices a nontrivial one. We give numerical evidence for a percolation transition on these fractals. This transition is tudied by a real-space renormalization group technique on lattices with fractal dimensionaiity d between 1 and 2. The critical exponents for percolation depend strongly on the geometry of the fractals.","publication_date":"1984,,","publication_name":"Journal of Statistical Physics","grobid_abstract_attachment_id":"67567229"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Percolation on infinitely ramified fractals","broadcastable":false,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [136645528]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; 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 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Vannimenus</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal de Physique Lettres, 1984</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":"On intrinsic properties of fractal lattices and percolation clusters","attachmentId":87708010,"attachmentType":"pdf","work_url":"https://www.academia.edu/81783435/On_intrinsic_properties_of_fractal_lattices_and_percolation_clusters","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-wsj-grid-card-view-pdf" href="https://www.academia.edu/81783435/On_intrinsic_properties_of_fractal_lattices_and_percolation_clusters"><span class="ds2-5-text-link__content">View PDF</span><span 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ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/118703795/The_geometry_of_fractal_percolation"><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-wsj-grid-card" data-collection-position="9" data-entity-id="24897544" 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/24897544/Diffusion_on_fractal_substrates">Diffusion on fractal substrates</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="14026973" href="https://trismegistos.academia.edu/RafDekeyser">Raf Dekeyser</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Lecture Notes in Physics, 1994</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link 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