Sobolev-type inequalities and eigenvalue growth on graphs with finite measure

DOI10.1090/proc/14361zbMath1514.05116arXiv1804.08353OpenAlexW2963973177MaRDI QIDQ6043768

Melchior Wirth, Michael Schwarz, Matthias Keller, Bobo Hua

Publication date: 24 May 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08353

zbMATH Keywords

eigenvalue growthinfinite graphs with discrete spectrum

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Discrete version of topics in analysis (39A12) Global Riemannian geometry, including pinching (53C20) Infinite graphs (05C63)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On spectral estimates for Schrödinger-type operators: the case of small local dimension
• Time regularity and long-time behavior of parabolic \(p\)-Laplace equations on infinite graphs
• Pure point spectrum and negative curvature for noncompact manifolds
• Heat kernel estimates and lower bound of eigenvalues
• Eigenvalue comparison theorems and its geometric applications
• Note on uniformly transient graphs
• The Kazdan-Warner equation on canonically compactifiable graphs
• Graphs of finite measure
• The essential spectrum of the Laplacian on rapidly branching tessellations
• Dirichlet forms and stochastic completeness of graphs and subgraphs
• Note on short-time behavior of semigroups associated to self-adjoint operators
• Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
• Eigenvalues of Graphs and Sobolev Inequalities
• Random Walks on Infinite Graphs and Groups
• Eigenvalue asymptotics for Schrödinger operators on sparse graphs

This page was built for publication: Sobolev-type inequalities and eigenvalue growth on graphs with finite measure