Gaussian estimates for spatially inhomogeneous random walks on Zd

• 成果类型: Article
• 署名作者: Mustapha, S
• 署名单位: Universite Paris Cite; Sorbonne Universite
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117905000000440
• 发表日期: 2006
• 页码: 264-283
• 关键词: 2nd-order parabolic equations; harnack inequality; difference-operators; positive solutions; markov-chains; BOUNDARY; divergence; BEHAVIOR; form

摘要

It is shown in this paper that the transition kernel corresponding to a spatially inhomogeneous random walk on Z(d) admits upper and lower Gaussian estimates.