Laurent Saloff-Coste

activity

20242026

collaborators

5 papers

math.PR2026

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…

math.AP2025

Dirichlet eigenfunction and heat kernel estimates on annular domains

Brian Chao, Laurent Saloff-Coste

Motivated by Euclidean boxes, we consider "thin" annular domains of the form $U = (a, b) \times U_{0} \subseteq R^{n}$ in polar coordinates, where the spherical base $U_0\subseteq…

math.PR2025

Perturbing the principal Dirichlet eigenfunction

Brian Chao, Laurent Saloff-Coste

We study the principal Dirichlet eigenfunction $I ¨ _{U}$ when the domain $U$ is a perturbation of a bounded inner uniform domain in a strictly local regular Dirichlet space. We prove…

math.AP2025

Heat Kernel Estimates for SchrÃ¶dinger Operators with Decay at Infinity on Parabolic Manifolds

Anthony Graves-McCleary, Laurent Saloff-Coste

We give estimates for positive solutions for the SchrÃ¶dinger equation $(I^_{I^} ¼ + W) u = 0$ on a wide class of parabolic weighted manifolds $(M, d I^¼)$ when $W$ decays to zero at infinity…

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…