Anthony Graves‐McCleary

activity

20242026

collaborators

4 papers

math.PR2026

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 $Δ + W$ on weighted graphs. The graphs we consider are transient and admit two-sided sub-Gau…

math.AP2025

Heat Kernel Estimates for Schrödinger Operators in the Domain Above a Bounded Lipschitz Function

Anthony Graves-McCleary

We give matching upper and lower bounds for the Dirichlet heat kernel of a Schrödinger operator $Δ + W$ in the domain above the graph of a bounded Lipschitz function, in the case whe…

math.AP2025

Heat Kernel Estimates for Schrödinger Operators with Decay at Infinity on Parabolic Manifolds

Anthony Graves-McCleary, Laurent Saloff-Coste

We give estimates for positive solutions for the Schrödinger equation $(Δ_{μ} + W) u = 0$ on a wide class of parabolic weighted manifolds $(M, d μ)$ when $W$ decays to zero at infinity fas…

math.PR2024

The Boundary Harnack Principle and the 3G Principle in Fractal-Type Spaces

Anthony Graves-McCleary, Laurent Saloff-Coste

We prove a generalized version of the $3 G$ Principle for Green's functions on bounded inner uniform domains in a wide class of Dirichlet spaces. In particular, our results apply to…