{"paper":{"title":"2D Anisotropic KPZ at stationarity: scaling, tightness and non triviality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"D. Erhard, G. Cannizzaro, P. Sch\\\"onbauer","submitted_at":"2019-07-02T17:30:29Z","abstract_excerpt":"In this work we focus on the two-dimensional anisotropic KPZ (aKPZ) equation, which is formally given by \\begin{equation*}\\partial_t h =\\frac{\\nu}{2}\\Delta h + \\lambda((\\partial_1 h)^2 - (\\partial_2 h)^2) + \\nu^\\frac{1}{2}\\xi,\\end{equation*} where $\\xi$ denotes a noise which is white in both space and time, and $\\lambda$ and $\\nu$ are positive constants. Due to the wild oscillations of the noise and the quadratic nonlinearity, the previous equation is classically ill-posed. It is not possible to linearise it via the Cole-Hopf transformation and the pathwise techniques for singular SPDEs (the t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01530","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"}