{"paper":{"title":"The two-dimensional KPZ equation in the entire subcritical regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Francesco Caravenna, Nikos Zygouras, Rongfeng Sun","submitted_at":"2018-12-10T16:43:57Z","abstract_excerpt":"We consider the KPZ equation in space dimension 2 driven by space-time white noise. We showed in previous work that if the noise is mollified in space on scale $\\epsilon$ and its strength is scaled as $\\hat\\beta / \\sqrt{|\\log \\epsilon|}$, then a transition occurs with explicit critical point $\\hat\\beta_c = \\sqrt{2\\pi}$. Recently Chatterjee and Dunlap showed that the solution admits subsequential scaling limits as $\\epsilon \\downarrow 0$, for sufficiently small $\\hat\\beta$. We prove here that the limit exists in the entire subcritical regime $\\hat\\beta \\in (0, \\hat\\beta_c)$ and we identify it a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03911","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"}