{"paper":{"title":"Averaging along foliated L\\'evy diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.PR","authors_text":"Michael H\\\"ogele, Paulo R Ruffino","submitted_at":"2014-05-24T14:13:58Z","abstract_excerpt":"This article studies the dynamics of the strong solution of a SDE driven by a discontinuous L\\'evy process taking values in a smooth foliated manifold with compact leaves. It is assumed that it is \\textit{foliated} in the sense that its trajectories stay on the leaf of their initial value for all times a.s.. % Such a system is called a \\textit{foliated L\\'evy diffusion}. Under a generic ergodicity assumption for each leaf, % and a continuous variation of the ergodic measures among each others, we determine the effective behaviour of the system subject to a small smooth perturbation of order $\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.6305","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"}