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Mixed and Isoperimetric Estimates on the Log-Sobolev Constants of Graphs and Markov Chains

✍ Scribed by Christian Houdré

Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
311 KB
Volume
21
Category
Article
ISSN
0209-9683

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Estimates of the first Neumann eigenvalu
Estimates of the first Neumann eigenvalue and the log-Sobolev constant on non-convex manifolds
✍ Feng-Yu Wang 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB 👁 1 views

## Abstract In this paper a number of explicit lower bounds are presented for the first Neumann eigenvalue on non‐convex manifolds. The main idea to derive these estimates is to make a conformal change of the metric such that the manifold is convex under the new metric, which enables one to apply k