[BOOK][B] Graphs and discrete Dirichlet spaces

M Keller, D Lenz, RK Wojciechowski - 2021 - Springer
The present book deals with the spectral geometry of infinite graphs. This topic involves the
interplay of three different subjects: geometry, the spectral theory of Laplacians and the heat …

Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature

RK Wojciechowski - Journal of Fourier Analysis and Applications, 2021 - Springer
The goal of this article is to survey various results concerning stochastic completeness of
graphs. In particular, we present a variety of formulations of stochastic completeness and …