[BOOK][B] Graphs and discrete Dirichlet spaces
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 …
interplay of three different subjects: geometry, the spectral theory of Laplacians and the heat …
Approximation, regularity and positivity preservation on Riemannian manifolds
The paper focuses on the L p-Positivity Preservation property (L p-PP for short) on a
Riemannian manifold (M, g). It states that any L p function u with 1< p<+∞, which solves …
Riemannian manifold (M, g). It states that any L p function u with 1< p<+∞, which solves …
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 …
graphs. In particular, we present a variety of formulations of stochastic completeness and …
Essential self-adjointness of the Laplacian on weighted graphs: harmonic functions, stability, characterizations and capacity
We give two characterizations for the essential self-adjointness of the weighted Laplacian on
birth-death chains. The first involves the edge weights and vertex measure and is classically …
birth-death chains. The first involves the edge weights and vertex measure and is classically …
Overview of the Topical Collection: Harmonic Analysis on Combinatorial Graphs
Abstract This topical collection “Harmonic Analysis on Combinatorial Graphs” contains 20
papers devoted to a very broad range of themes written by pure and applied mathematician …
papers devoted to a very broad range of themes written by pure and applied mathematician …
Self‐adjointness of non‐semibounded covariant Schrödinger operators on Riemannian manifolds
O Milatovic - Mathematische Nachrichten, 2023 - Wiley Online Library
In the context of a geodesically complete Riemannian manifold M, we study the self‐
adjointness of∇†∇+ V ∇^\dagger∇+V, where∇ is a metric covariant derivative (with formal …
adjointness of∇†∇+ V ∇^\dagger∇+V, where∇ is a metric covariant derivative (with formal …