{"paper":{"title":"Construction and analysis of sticky reflected diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Martin Grothaus, Robert Vo{\\ss}hall","submitted_at":"2014-12-12T12:46:58Z","abstract_excerpt":"We give a Dirichlet form approach for the construction of distorted Brownian motion in a bounded domain $\\Omega$ of $\\mathbb{R}^d$, $d \\geq 1$, with boundary $\\Gamma$, where the behavior at the boundary is sticky. The construction covers the case of a static boundary behavior as well as the case of a diffusion on the hypersurface $\\Gamma$ (for $d \\geq 2)$. More precisely, we consider the state space $\\overline{\\Omega}=\\Omega \\stackrel{.}{\\cup} \\Gamma$, the process is a diffusion process inside $\\Omega$, the occupation time of the process on the boundary $\\Gamma$ is positive and the process may"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3975","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"}