Higher order Cheeger inequalities for Steklov eigenvalues

DOI10.24033/asens.2417zbMath1456.58021arXiv1705.08643OpenAlexW2617357257MaRDI QIDQ5110352

Asma Hassannezhad, Laurent Miclo

Publication date: 18 May 2020

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08643

zbMATH Keywords

eigenvaluesLaplace-Beltrami operatorDirichlet-to-Neumann operatorfinite Markov processesSteklov problemBrownian motion on Riemannian manifoldsjump Markov processeshigher order Cheeger inequalitiesisoperimetric ratios

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Continuous-time Markov processes on discrete state spaces (60J27)

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A Lichnerowicz-type estimate for Steklov eigenvalues on graphs and its rigidity ⋮ Upper bounds for the Steklov eigenvalues on trees ⋮ Dirichlet-to-Neumann maps for differential forms on graphs and their eigenvalues ⋮ Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs ⋮ Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Monotonicity of Steklov eigenvalues on graphs and applications ⋮ From Steklov to Neumann via homogenisation ⋮ The Steklov and Laplacian spectra of Riemannian manifolds with boundary ⋮ Isoperimetric upper bound for the first eigenvalue of discrete Steklov problems ⋮ Upper bounds for Steklov eigenvalues of subgraphs of polynomial growth Cayley graphs ⋮ Comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs ⋮ Escobar constants of planar domains

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