{"paper":{"title":"Decomposition of stochastic flows generated by Stratonovich SDEs with jumps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.DS","authors_text":"Alison M. Melo, Leandro Morgado, Paulo R. Ruffino","submitted_at":"2015-04-24T16:42:45Z","abstract_excerpt":"Consider a manifold $M$ endowed locally with a pair of complementary distributions $\\Delta^H \\oplus \\Delta^V=TM$ and let $\\text{Diff}(\\Delta^H, M)$ and $\\text{Diff}(\\Delta^V, M)$ be the corresponding Lie subgroups generated by vector fields in the corresponding distributions. We decompose a stochastic flow with jumps, up to a stopping time, as $\\varphi_t = \\xi_t \\circ \\psi_t$, where $\\xi_t \\in \\text{Diff}(\\Delta^H, M)$ and $\\psi_t \\in \\text{Diff}(\\Delta^V, M)$. Our main result provides Stratonovich stochastic differential equations with jumps for each of these two components in the correspondi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06562","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"}