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- W2214735801 abstract "We consider a weighted lattice $Z^d$ with conductance $mu_e=|e|^{-alpha}$. We show that the heat kernel of a variable speed random walk on it satisfies a two-sided Gaussian bound by using an intrinsic metric. We also show that when $d=2$ and $alphain (-1,0)$, two independent random walks on such weighted lattice will collide infinite many times while they are transient." @default.
- W2214735801 created "2016-06-24" @default.
- W2214735801 creator A5029939473 @default.
- W2214735801 date "2015-07-19" @default.
- W2214735801 modified "2023-09-27" @default.
- W2214735801 title "Gaussian bounds and Collisions of variable speed random walks on lattices with power law conductances" @default.
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- W2214735801 doi "https://doi.org/10.48550/arxiv.1507.05297" @default.
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