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2013 Weak approximation of the fractional Brownian sheet from random walks
Zhi Wang, Litan Yan, Xianye Yu
Author Affiliations +
Electron. Commun. Probab. 18: 1-13 (2013). DOI: 10.1214/ECP.v18-2878

Abstract

In this paper, we show an approximation in law of the fractional Brownian sheet by random walks. As an application, we consider a quasilinear stochastic heat equation with Dirichlet boundary conditions driven by an additive fractional noise.

Citation

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Zhi Wang. Litan Yan. Xianye Yu. "Weak approximation of the fractional Brownian sheet from random walks." Electron. Commun. Probab. 18 1 - 13, 2013. https://doi.org/10.1214/ECP.v18-2878

Information

Accepted: 1 December 2013; Published: 2013
First available in Project Euclid: 7 June 2016

zbMATH: 1308.60043
MathSciNet: MR3145046
Digital Object Identifier: 10.1214/ECP.v18-2878

Subjects:
Primary: 60B10
Secondary: 60G15 , 60H15

Keywords: Fractional Brownian sheet , Random walks , Stochastic heat equation , weak convergence

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