{"paper":{"title":"Stability Properties of Constrained Jump-Diffusion Processes","license":"","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Amarjit Budhiraja, Rami Atar","submitted_at":"2005-01-02T07:43:13Z","abstract_excerpt":"We consider a class of jump-diffusion processes, constrained to a polyhedral cone $G\\subset\\R^n$, where the constraint vector field is constant on each face of the boundary. The constraining mechanism corrects for ``attempts'' of the process to jump outside the domain. Under Lipschitz continuity of the Skorohod map \\Gamma, it is known that there is a cone \\mathcalC such that the image \\Gamma\\phi of a deterministic linear trajectory \\phi remains bounded if and only if \\dot\\phi\\in\\mathcalC. Denoting the generator of a corresponding unconstrained jump-diffusion by \\cll, we show that a key conditi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0501014","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"}