{"paper":{"title":"Convergence to equilibrium for time inhomogeneous jump diffusions with state dependent jump intensity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Eva L\\\"ocherbach","submitted_at":"2017-12-10T11:23:14Z","abstract_excerpt":"We consider a time inhomogeneous jump Markov process $X = (X_t)_t$ with state dependent jump intensity, taking values in $R^d . $ Its infinitesimal generator is given by \\begin{multline*} L_t f (x) = \\sum_{i=1}^d \\frac{\\partial f}{\\partial x_i } (x) b^i ( t,x) - \\sum_{ i =1}^d \\frac{\\partial f}{\\partial x_i } (x) \\int_{E_1} c_1^i ( t, z, x) \\gamma_1 ( t, z, x ) \\mu_1 (dz ) \\\\ + \\sum_{l=1}^3 \\int_{E_l} [ f ( x + c_l ( t, z, x)) - f(x)] \\gamma_l ( t, z, x) \\mu_l (dz ) , \\end{multline*} where $(E_l , {\\mathcal E}_l, \\mu_l ) , 1 \\le l \\le 3, $ are sigma-finite measurable spaces describing three di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03507","kind":"arxiv","version":3},"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"}