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A class of growth models rescaling to KPZ

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arxiv 1512.07845 v1 pith:WRBGEJ2F submitted 2015-12-24 math-ph math.APmath.MPmath.PR

Martin Hairer , Jeremy Quastel This is my paper · ORCID
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keywords modelsclassgrowthasymmetricconsidercontinuousconvergedimensional
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abstract

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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  1. Bessel SPDEs with general Dirichlet boundary conditions

    math.PR 2019-08 conditional novelty 6.0 of 10

    The paper proves generalized integration by parts formulas for Bessel bridges with arbitrary boundary values and constructs a weak gradient dynamics for the two-dimensional Bessel bridge.

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