Asymptotic Distributions for Power Variations of the Solution to the Spatially Colored Stochastic Heat Equation

Let uα,d=uα,dt,x, t∈0,T,x∈ℝd be the solution to the stochastic heat equations (SHEs) with spatially colored noise. We study the realized power variations for the process uα,d, in time, having infinite quadratic variation and dimension-dependent Gaussian asymptotic distributions. We use the underlyin...

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Bibliographic Details
Main Authors: Wensheng Wang, Xiaoying Chang, Wang Liao
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/8208934
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