{"paper":{"title":"Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Li-Cheng Tsai, Stefano Olla","submitted_at":"2017-08-23T15:30:09Z","abstract_excerpt":"Consider the Totally Asymmetric Simple Exclusion Process (TASEP) on the integer lattice $ \\mathbb{Z} $. We study the functional Large Deviations of the integrated current $ \\mathsf{h}(t,x) $ under the hyperbolic scaling of space and time by $ N $, i.e., $ \\mathsf{h}_N(t,\\xi) := \\frac{1}{N}\\mathsf{h}(Nt,N\\xi) $. As hinted by the asymmetry in the upper- and lower-tail large deviations of the exponential Last Passage Percolation, the TASEP exhibits two types of deviations. One type of deviations occur with probability $ \\exp(-O(N)) $, referred to as speed-$ N $; while the other with probability $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07052","kind":"arxiv","version":3},"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"}