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arxiv: 1512.07845 · v1 · pith:WRBGEJ2Fnew · submitted 2015-12-24 · 🧮 math-ph · math.AP· math.MP· math.PR

A class of growth models rescaling to KPZ

classification 🧮 math-ph math.APmath.MPmath.PR
keywords modelsclassgrowthasymmetricconsidercontinuousconvergedimensional
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We consider a large class of $1+1$-dimensional continuous interface growth models and we show that, in both the weakly asymmetric and the intermediate disorder regimes, these models converge to Hopf-Cole solutions to the KPZ equation.

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