News & Events
Speaker:Xiao Yimin, Professor, Department of Statistics & Probability, Michigan State University
Date:Nov. 25, 2021
Location:Tencent Meeting, ID: 120 123 586
Sponsor:School of Mathematics, Shandong University
In this talk we present methods for establishing exact uniform and local modulus of continuity results for Gaussian random fields. In particular, we consider four types of limit theorems: the law of the iterated logarithm, uniform modulus of continuity, Chung’s law of the iterated logarithm, and the modulus of non-differentiability. For this purpose, we formulate a framework that will be convenient for studying the solutions of stochastic partial differential equations. An important technical tool in this framework is the property of strong local nondeterminism.
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