{"paper":{"title":"On the selection of subaction and measure for a subclass of potentials defined by P. Walters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.PR"],"primary_cat":"math.DS","authors_text":"A. O. Lopes, A. T. Baraviera, J. K. Mengue","submitted_at":"2011-06-27T12:44:06Z","abstract_excerpt":"Suppose $\\sigma$ is the shift acting on Bernoulli space $X=\\{0,1\\}^\\mathbb{N}$, and, consider a fixed function $f:X \\to \\mathbb{R}$, under the Waters's conditions (defined in a paper in ETDS 2007). For each real value $t\\geq 0$ we consider the Ruelle Operator $L_{tf}$. We are interested in the main eigenfunction $h_t$ of $L_{tf}$, and, the main eigenmeasure $\\nu_t$, for the dual operator $L_{tf}^*$, which we consider normalized in such way $h_t(0^\\infty)=1$, and, $\\int h_t \\,d\\,\\nu_t=1, \\forall t>0$. We denote $\\mu_t= h_t \\nu_t$ the Gibbs state for the potential $t\\, f$. By selection of a suba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5379","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"}