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Review the introduction section, which outlines the significance of the second largest eigenvalue in controlling mixing time. Take notes on key concepts as you read.
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by TA Driscoll 2014 Cited by 930 In MATLAB, diff gives finite differences of a vector: v = [1 2 3 5] diff(v) v = 1. 2. 3. 5 ans = 1. 1. 2. The continuous analogue of this operation is
Spectral gaps for reversible Markov processes with chaotic
by E Carlen 2020 Cited by 10 For each fixed vk, the conditional Dirichlet form is simply the N 1 particle Dirichlet form acting in the y variables. Note that by (24) and (25), when v = Tk
Lecture 8 - Dirichlet forms and comparison of spectral gap
We now show how to bound 1 2 by comparing the Dirichlet forms of two Markov chains, one M0 with known spectral gap and the other M with unknown gap. Let M
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