A. Bendikov

activity

20072026

most citedOn the spectrum of the hierarchical Laplacian

18 citations · 48 across the 13 of their papers we have counts for

collaborators

Showing 2013 · math.PRShow all

2 papers · 2 filters

math.PR2013★ 18 cited

On the spectrum of the hierarchical Laplacian

Alexander Bendikov, Paweł Krupski

Let $(X, d)$ be a locally compact separable ultrametric space. We assume that $(X, d)$ is proper, that is, any closed ball $B$ in $X$ is a compact set. Given a measure $m$ on $X$ and…

math.PR2013★ 7 cited

Alpha-stable random walk has massive thorns

Alexander Bendikov, Wojciech Cygan

We introduce and study a class of random walks defined on the integer lattice $Z^{d}$ -- a discrete space and time counterpart of the symmetric $α$ -stable process in $\mat…