1 citations · 1 across the 4 of their papers we have counts for
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Heat Kernel Estimates for Random Walks with Killing on Transient Graphs
Emily Dautenhahn, Anthony Graves-McCleary
We give matching two-sided estimates for heat kernels obtained from Schrödinger operators on weighted graphs. The graphs we consider are transient and admit two-sided sub-Gau…
Heat kernel estimates on book-like graphs
Emily Dautenhahn, Laurent Saloff-Coste
In this paper, we prove two-sided heat kernel estimates on what we call "book-like" graphs. These are graphs consisting of pieces that satisfy the parabolic Harnack inequality that…
Faber-Krahn inequality and heat kernel estimates on glued graphs
Emily Dautenhahn, Laurent Saloff-Coste
Faber-Krahn functions provide lower bounds on the first Dirichlet eigenvalue of the Laplacian and are useful because they imply heat kernel upper bounds. In this paper, we are inte…
Hitting probabilities and uniformly -transient subgraphs
Emily Dautenhahn, Laurent Saloff-Coste
We study the probability that a random walk started inside a subgraph of a larger graph exits that subgraph (or, equivalently, hits the exterior boundary of the subgraph). Consider…