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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1306.0476","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-06-03T16:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"d5a8c87f1345baf835fe1ae99326036d0ce0f6316f7b2337d47b37cbb169d18a","abstract_canon_sha256":"31edb845dbcf83ff768bb2cae4d5946cbf239129c4d338e22cccda5df87d737e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:23.545928Z","signature_b64":"lCcENR1oIQiL9GGEYGAnxChUhqXEjxj6dCYpQ35jbkY2X4yu3neiobQSob8+eFsrqJTSa3jqPaZV7ppcuHFiDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9dab8fb0886fba6cf5ae2de92c9b4762b17ea63762f2fad308ebb37fad61f133","last_reissued_at":"2026-05-18T02:58:23.545204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:23.545204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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). 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