Weak approximation of the fractional Brownian sheet from random walks
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1. | Title | Title of document | Weak approximation of the fractional Brownian sheet from random walks |
2. | Creator | Author's name, affiliation, country | Zhi Wang; Donghua University; China |
2. | Creator | Author's name, affiliation, country | Litan Yan; Donghua University; China |
2. | Creator | Author's name, affiliation, country | Xianye Yu; Donghua University; China |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Fractional Brownian sheet; random walks; stochastic heat equation; weak convergence |
3. | Subject | Subject classification | 60B10; 60G15; 60H15 |
4. | Description | 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. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | |
7. | Date | (YYYY-MM-DD) | 2013-12-01 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ecp.ejpecp.org/article/view/2878 |
10. | Identifier | Digital Object Identifier | 10.1214/ECP.v18-2878 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Communications in Probability; Vol 18 |
12. | Language | English=en | en |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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