A graph counterexample to Davies' conjecture

DOI10.4171/RMI/766zbMath1302.05173arXiv1111.4593WikidataQ124985687 ScholiaQ124985687MaRDI QIDQ2449569

Gady Kozma

Publication date: 8 May 2014

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4593

zbMATH Keywords

quasi-isometryrough isometryjungle gymstrong ratio limit

Mathematics Subject Classification ID

Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Relations of low-dimensional topology with graph theory (57M15) Random walks on graphs (05C81)

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Cites Work

• The infinite Brownian loop on a symmetric space.
• Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
• Parabolic Harnack inequality and estimates of Markov chains on graphs
• Metastable States of Symmetric Markov Semigroups II
• Strong ratio limit property
• Non-Gaussian Aspects of Heat Kernel Behaviour
• Sur deux problèmes de M. Kolmogoroff concernant les chaînes dénombrables
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