78 citations · 191 across the 11 of their papers we have counts for
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math.PR2018
Regularity properties of the solution to a stochastic heat equation driven by a fractional Gaussian noise on
Xiaohong Lan, Yimin Xiao
We study the stochastic heat equation driven by an additive infinite dimensional fractional Brownian noise on the unit sphere . The existence and uniqueness of its…
math.PR2018★ 1 cited
Hölder Conditions of Local Times and Exact Moduli of non-differentiability for Spherical Gaussian fields
Xiaohong Lan, Yimin Xiao
This paper investigate the local times and modulus of nondifferentiability of the spherical Gaussian random fields. We extend the methods for studying the local times of Gaussian t…
math.PR2016
Strong Local Nondeterminism and Exact Modulus of Continuity for Spherical Gaussian Fields
Xiaohong Lan, Domenico Marinucci, Yimin Xiao
In this paper, we are concerned with sample path properties of isotropic spherical Gaussian fields on . In particular, we establish the property of strong local nondeterminism…