Gaussian estimates for spatially inhomogeneous random walks on ${\mathbf{Z}}^d$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109132It is shown in this paper that the transition kernel corresponding to a spatially inhomogeneous random walk on ${\mathbf{Z}}^d$ admits upper and lower Gaussian estimates.Published at http://dx.doi.org/10.1214/009117905000000440 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)Probability60J10, 60J35 (Primary) 60J45, 31C20 (Secondary)Gaussian estimates for spatially inhomogeneous random walks on ${\mathbf{Z}}^d$text