{"paper":{"title":"Stochastic Burgers equation from long range exclusion interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Milton Jara, Patricia Gon\\c{c}alves","submitted_at":"2016-06-21T16:51:23Z","abstract_excerpt":"We consider one-dimensional exclusion processes with long jumps given by a transition probability of the form $p_n(\\cdot)=s(\\cdot)+\\gamma_na(\\cdot)$, such that its symmetric part $s(\\cdot)$ is irreducible with finite variance and its antisymmetric part is absolutely bounded by $s(\\cdot).$ We prove that under diffusive time scaling and strength of asymmetry $\\sqrt n \\gamma_n \\to_{n\\to\\infty} b\\neq 0$, the equilibrium density fluctuations are given by the unique energy solution of the stochastic Burgers equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06655","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"}