{"paper":{"title":"Ergodic Transport Theory, periodic maximizing probabilities and the twist condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.OC","math.PR"],"primary_cat":"math.DS","authors_text":"A. O. Lopes, E. R. Oliveira, G. Contreras","submitted_at":"2011-03-04T03:19:02Z","abstract_excerpt":"The present paper is a follow up of another one by A. O. Lopes, E. Oliveira and P. Thieullen which analyze ergodic transport problems. Our main focus will a more precise analysis of case where the maximizing probability is unique and is also a periodic orbit.\n  Consider the shift T acting on the Bernoulli space \\Sigma={1, 2, 3,.., d}^\\mathbb{N} $ and $A:\\Sigma \\to \\mathbb{R} a Holder potential.\n  Denote m(A)=max_{\\nu is an invariant probability for T} \\int A(x) \\; d\\nu(x) and, \\mu_{\\infty,A}, any probability which attains the maximum value. We assume this probability is unique (a generic prope"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0816","kind":"arxiv","version":4},"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"}