{"paper":{"title":"Asymmetric L\\'evy flights in the presence of absorbing boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Alberto Rosso, Cl\\'elia de Mulatier, Gregory Schehr","submitted_at":"2013-06-03T16:00:03Z","abstract_excerpt":"We consider a one dimensional asymmetric random walk whose jumps are identical, independent and drawn from a distribution \\phi(\\eta) displaying asymmetric power law tails (i.e. \\phi(\\eta) \\sim c/\\eta^{\\alpha +1} for large positive jumps and \\phi(\\eta) \\sim c/(\\gamma |\\eta|^{\\alpha +1}) for large negative jumps, with 0 < \\alpha < 2). In absence of boundaries and after a large number of steps n, the probability density function (PDF) of the walker position, x_n, converges to an asymmetric L\\'evy stable law of stability index \\alpha and skewness parameter \\beta=(\\gamma-1)/(\\gamma+1). In particula"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0476","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"}