{"paper":{"title":"Full $\\Gamma-$expansion for the level-two large deviation rate functionals of non-reversible one-dimensional diffusions with periodic boundary conditions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christian Maura, Claudio Landim","submitted_at":"2026-06-16T12:32:52Z","abstract_excerpt":"Consider the diffusion process \\begin{equation*} dX_{\\epsilon}(t) = \\mss b(X_{\\epsilon}(t)) \\, dt + \\sqrt{2\\, \\epsilon\\, \\mss a(X_\\epsilon(t))} \\, dW_{t}, \\end{equation*} on the one-dimensional torus $\\bb T = [0,1)$. Here $\\epsilon$ is the temperature, $W_{t}$ a Brownian motion on $\\bb T$ and $\\mss a$, $\\mss b$ functions of class $C^{2}(\\bb T)$ satisfying further conditions. Denote by $\\mss P(\\bb T)$ the set of probability measures on $\\bb T$ equipped with the weak topology, and by $\\ms I_{\\epsilon}\\colon \\mss P(\\bb T)\\to [0,+\\infty)$ the level two large deviation rate functional of the diffus"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.17859","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.17859/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}