Publications [#371979] of Alexander J Dunlap

Papers Published

1. Dunlap, A; Gu, Y; Ryzhik, L; Zeitouni, O, Fluctuations of the solutions to the KPZ equation in dimensions three and higher, Probability Theory and Related Fields, vol. 176 no. 3-4 (April, 2020), pp. 1217-1258, Springer Science and Business Media LLC [doi]
   (last updated on 2026/01/16)

   Abstract:
   We prove, using probabilistic techniques and analysis on the Wiener space, that the large scale fluctuations of the KPZ equation in $d≥ 3$ 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).