{"paper":{"title":"Quasi stationary distributions and Fleming-Viot processes in countable spaces","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Nevena Maric, Pablo A. Ferrari","submitted_at":"2006-05-25T16:18:20Z","abstract_excerpt":"We consider an irreducible pure jump Markov process with rates Q=(q(x,y)) on \\Lambda\\cup\\{0\\} with \\Lambda countable and 0 an absorbing state. A quasi-stationary distribution (qsd) is a probability measure \\nu on \\Lambda that satisfies: starting with \\nu, the conditional distribution at time t, given that at time t the process has not been absorbed, is still \\nu. That is, \\nu(x) = \\nu P_t(x)/(\\sum_{y\\in\\Lambda}\\nu P_t(y)), with P_t the transition probabilities for the process with rates Q.\n  A Fleming-Viot (fv) process is a system of N particles moving in \\Lambda. Each particle moves independe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0605665","kind":"arxiv","version":1},"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"}