{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:B2QBDCLVW2F6TSZUU3H7ED54QZ","short_pith_number":"pith:B2QBDCLV","schema_version":"1.0","canonical_sha256":"0ea0118975b68be9cb34a6cff20fbc865fcf7bc5349a637e2e019be63fb5b7e1","source":{"kind":"arxiv","id":"1401.2802","version":4},"attestation_state":"computed","paper":{"title":"Large deviations of the trajectory of empirical distributions of Feller processes on locally compact spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.FA","authors_text":"Richard C. Kraaij","submitted_at":"2014-01-13T11:46:02Z","abstract_excerpt":"We study the large deviation behaviour of the trajectories of empirical distributions of independent copies of time-homogeneous Feller processes on locally compact metric spaces. Under the condition that we can find a suitable core for the generator of the Feller process, we are able to define a notion of absolutely continuous trajectories of measures in terms of some topology on this core. Also, we define a Hamiltonian in terms of the linear generator and a Lagrangian as its Legendre transform.\n  We prove the large deviation principle and show that the rate function can be decomposed as a rat"},"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":"1401.2802","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-01-13T11:46:02Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"a8791c7160e353372cf88caa74247389e23e160d5f056e8a24880c32486184a7","abstract_canon_sha256":"0bbb5f7e2f53dcf02fbc0ea8bb0005ad4b463b73ae9512467cf1a902d930b44e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:38.167517Z","signature_b64":"qy7E14gCBH/G/l5qoK0yLNXqEAhLSfKypN5iuaP27+d2WfXZ+9ntnndQpzT29tpjV7PZ3YjwsHzEoRtaZwUSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ea0118975b68be9cb34a6cff20fbc865fcf7bc5349a637e2e019be63fb5b7e1","last_reissued_at":"2026-05-18T00:21:38.166821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:38.166821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large deviations of the trajectory of empirical distributions of Feller processes on locally compact spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.FA","authors_text":"Richard C. Kraaij","submitted_at":"2014-01-13T11:46:02Z","abstract_excerpt":"We study the large deviation behaviour of the trajectories of empirical distributions of independent copies of time-homogeneous Feller processes on locally compact metric spaces. Under the condition that we can find a suitable core for the generator of the Feller process, we are able to define a notion of absolutely continuous trajectories of measures in terms of some topology on this core. Also, we define a Hamiltonian in terms of the linear generator and a Lagrangian as its Legendre transform.\n  We prove the large deviation principle and show that the rate function can be decomposed as a rat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2802","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1401.2802","created_at":"2026-05-18T00:21:38.166925+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.2802v4","created_at":"2026-05-18T00:21:38.166925+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2802","created_at":"2026-05-18T00:21:38.166925+00:00"},{"alias_kind":"pith_short_12","alias_value":"B2QBDCLVW2F6","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"B2QBDCLVW2F6TSZU","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"B2QBDCLV","created_at":"2026-05-18T12:28:19.803747+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B2QBDCLVW2F6TSZUU3H7ED54QZ","json":"https://pith.science/pith/B2QBDCLVW2F6TSZUU3H7ED54QZ.json","graph_json":"https://pith.science/api/pith-number/B2QBDCLVW2F6TSZUU3H7ED54QZ/graph.json","events_json":"https://pith.science/api/pith-number/B2QBDCLVW2F6TSZUU3H7ED54QZ/events.json","paper":"https://pith.science/paper/B2QBDCLV"},"agent_actions":{"view_html":"https://pith.science/pith/B2QBDCLVW2F6TSZUU3H7ED54QZ","download_json":"https://pith.science/pith/B2QBDCLVW2F6TSZUU3H7ED54QZ.json","view_paper":"https://pith.science/paper/B2QBDCLV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.2802&json=true","fetch_graph":"https://pith.science/api/pith-number/B2QBDCLVW2F6TSZUU3H7ED54QZ/graph.json","fetch_events":"https://pith.science/api/pith-number/B2QBDCLVW2F6TSZUU3H7ED54QZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B2QBDCLVW2F6TSZUU3H7ED54QZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B2QBDCLVW2F6TSZUU3H7ED54QZ/action/storage_attestation","attest_author":"https://pith.science/pith/B2QBDCLVW2F6TSZUU3H7ED54QZ/action/author_attestation","sign_citation":"https://pith.science/pith/B2QBDCLVW2F6TSZUU3H7ED54QZ/action/citation_signature","submit_replication":"https://pith.science/pith/B2QBDCLVW2F6TSZUU3H7ED54QZ/action/replication_record"}},"created_at":"2026-05-18T00:21:38.166925+00:00","updated_at":"2026-05-18T00:21:38.166925+00:00"}