Fluctuations of the solutions to the KPZ equation in dimensions three and higher
Fluctuations of the solutions to the KPZ equation in dimensions three and higher
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DOI：
10.1007/s00440-019-00938-w
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发表时间：
2020-04-01
影响因子：
2
通讯作者：
Zeitouni, Ofer
中科院分区：
文献类型：
--
作者：
Dunlap, Alexander;Gu, Yu;Zeitouni, Ofer
利用概率方法和Wiener空间的分析，证明了在时间上为白色，空间上为有色噪声的驱动下，d ≥ 3时KPZ方程的大尺度涨落是Edwards-Wilkinson模型给出的.这给出了一个替代的证明，避免了微扰展开，对Magnen和Unterberger的结果（J Stat Phys 171：543-598，2018）。
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).