{"paper":{"title":"Shock fluctuations in flat TASEP under critical scaling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Patrik L. Ferrari, Peter Nejjar (Bonn University)","submitted_at":"2014-08-21T01:10:32Z","abstract_excerpt":"We consider TASEP with two types of particles starting at every second site. Particles to the left of the origin have jump rate $1$, while particles to the right have jump rate $\\alpha$. When $\\alpha<1$ there is a formation of a shock where the density jumps to $(1-\\alpha)/2$. For $\\alpha<1$ fixed, the statistics of the associated height functions around the shock is asymptotically (as time $t\\to\\infty$) a maximum of two independent random variables as shown in\\cite{FN14}. In this paper we consider the critical scaling when $1-\\alpha=a t^{-1/3}$, where $t\\gg 1$ is the observation time. In that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4850","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"}