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We prove, using probabilistic techniques and analysis on the Wiener space, that the large scale fluctuations of the KPZ equation in $$d\ge 3$$ d ≥ 3 with a small coupling… Click to show full abstract
We prove, using probabilistic techniques and analysis on the Wiener space, that the large scale fluctuations of the KPZ equation in $$d\ge 3$$ d ≥ 3 with a small coupling constant, driven by a white in time and colored in space noise, are given by the Edwards-Wilkinson model. This gives an alternative proof, that avoids perturbation expansions, to the results of Magnen and Unterberger (J Stat Phys 171:543–598, 2018 ).
Keywords:
solutions kpz;
kpz equation;
dimensions three;
fluctuations solutions;
equation dimensions;
equation
Journal Title: Probability Theory and Related Fields
Year Published: 2019
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Journal Title: Probability Theory and Related Fields
Year Published: 2019
Link to full text (if available)
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recommendations!