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math.PR2019
Multiple Points of Gaussian Random Fields
Robert C. Dalang, Cheuk Yin Lee, Carl Mueller +1
This paper is concerned with the existence of multiple points of Gaussian random fields. Under the framework of Dalang et al. (2017), we prove that, for a wide class of Gaussian ra…
math.PR2019
Local Nondeterminism and the Exact Modulus of Continuity for Stochastic Wave Equation
Cheuk Yin Lee, Yimin Xiao
We consider the linear stochastic wave equation driven by a Gaussian noise. We show that the solution satisfies a certain form of strong local nondeterminism and we use this proper…