Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact Publication 18-CNA-031 Fluctuations of the solutions to the KPZ equation in dimensions three and higher Alexander DunlapDepartment of Mathematics Stanford University Stanford, CA 94305, USAajdunl2@stanford.edu Yu GuDepartment of Mathematical Sciences Carnegie Mellon University Pittsburgh, PA 15213, USAyug2@andrew.cmu.edu Lenya RyzhikDepartment of Mathematics Stanford University Stanford, CA 94305ryzhik@math.stanford.edu Ofer ZeitouniDepartment of Mathematics Weizmann Institute of Science POB 26, Rehovot 76100, Israelofer.zeitouni@weizmann.ac.ilAbstract: We prove, using probabilistic techniques and analysis on the Wiener space, that the large scale fluctuations of the KPZ equation in $d\geq 3$ 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-Unterberger 17].Get the paper in its entirety as  18-CNA-031.pdf