4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.FA2012★ 1 cited
Volume growth and spectrum for general graph Laplacians
Matthew Folz
We prove estimates relating exponential or sub-exponential volume growth of weighted graphs to the bottom of the essential spectrum for general graph Laplacians. The volume growth…
math.PR2012★ 4 cited
Volume growth and stochastic completeness of graphs
Matthew Folz
Given the variable-speed random walk on a weighted graph and a metric adapted to the structure of the random walk, we construct a Brownian motion on a closely related metric graph…
math.PR2011★ 1 cited
Gaussian upper bounds for heat kernels of continuous time simple random walks
Matthew Folz
We consider continuous time simple random walks with arbitrary speed measure on infinite weighted graphs. Write for the heat kernel of this process. Given on-diagona…