{"paper":{"title":"Exponential Ergodicity of stochastic Burgers equations driven by $\\alpha$-stable processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Lihu Xu, Xicheng Zhang, Zhao Dong","submitted_at":"2012-08-28T22:36:25Z","abstract_excerpt":"In this work, we prove the strong Feller property and the exponential ergodicity of stochastic Burgers equations driven by $\\alpha/2$-subordinated cylindrical Brownian motions with $\\alpha\\in(1,2)$. To prove the results, we truncate the nonlinearity and use the derivative formula for SDEs driven by $\\alpha$-stable noises established in Zhang (arXiv:1204.2630v2)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5804","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"}