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Sultanov","submitted_at":"2019-06-11T17:37:28Z","abstract_excerpt":"We study the exit time from a bounded multi-dimensional domain $\\Omega$\n  of the stochastic process $\\mathbf{Y}_\\varepsilon=\\mathbf{Y}_\\varepsilon(t,a)$, $t\\geqslant 0$, $a\\in \\mathcal{A}$, governed by the overdamped Langevin dynamics \\begin{equation*}\n  d\\mathbf{Y}_\\varepsilon =-\\nabla V(\\mathbf{Y}_\\varepsilon) dt +\\sqrt{2}\\varepsilon\\, d\\mathbf{W}, \\qquad \\mathbf{Y}_\\varepsilon(0,a)\\equiv x\\in\\Omega \\end{equation*} where $\\varepsilon$ is a small positive parameter, $\\mathcal{A}$ is a sample space, $\\mathbf{W}$ is a $n$-dimensional Wiener process. The exit time corresponds to the first hittin"},"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":"1906.04715","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-11T17:37:28Z","cross_cats_sorted":["math-ph","math.MP","math.PR"],"title_canon_sha256":"30d75e650a7809e343f495a1013704337af4f831def8608bd6543f6e1b814ad3","abstract_canon_sha256":"c0ea1f7edd69e221993aeddf2338575bebae918ebe42754a0aabbe2490164b0c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:33.698974Z","signature_b64":"QGzsnSfa5LkcUHMc975DnhqEZm/Xj5y1qnkDWnausctvq8QHgPsyucgF/bQrD6wmPlSg2N7MrCnvbnR4Q/wSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2dc300459cd9c4ca93af21fc2673991dcfdeb440bb1ce8b64cf7b5a209aa1e7f","last_reissued_at":"2026-05-17T23:43:33.698589Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:33.698589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic analysis of exit time for dynamical systems with a single well potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR"],"primary_cat":"math.AP","authors_text":"D. 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