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Glauber Dynamics on Trees: Boundary Conditions and Mixing Time

Communications in Mathematical Physics, no. 2 (2004): 301-334

Cited: 63|Views24

Abstract

We give the first comprehensive analysis of the effect of boundary conditions on the mixing time of the Glauber dynamics in the so-called Bethe approximation. Specifically, we show that the spectral gap and the log-Sobolev constant of the Glauber dynamics for the Ising model on an n-vertex regular tree with (+)-boundary are bounded below ...More

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