{"paper":{"title":"Two-dimensional random walk in a bounded domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.gen-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Mahashweta Basu, P. K. Mohanty","submitted_at":"2009-10-30T14:52:49Z","abstract_excerpt":"In a recent Letter Ciftci and Cakmak [EPL 87, 60003 (2009)] showed that  the two dimensional random walk in a bounded domain, where walkers which cross the boundary return to a base curve near origin with deterministic rules, can produce regular patterns. Our numerical calculations suggest that  the cumulative probability distribution function of  the returning walkers along the  base curve  is a Devil's staircase, which can be explained  from the mapping of these walks  to a non-linear stochastic map. The non-trivial  probability distribution function(PDF) is a universal feature of CCRW chara"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5885","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}