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Yuval Peres

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titleconferencedate
Cutoff on all Ramanujan GraphsApproximate Counting, Markov Chains and Phase Transitions2016-02-22
Any sequence of non-bipartite d-regular Ramanujan graphs has simple random walk cutoff at time d/(d-2) · log_{d-1} n with only lower-order corrections, and the…
Talk
Characterization of Cutoff for Reversible Markov Chains, and Surprise ProbabilitiesFast Algorithms via Spectral Methods 20142014-12-01
Proves a sharp inequality: t_mix(2ε) ≤ hit_{1/2}(ε) + C t_rel log(1/ε), and deduces that for lazy reversible chains on trees the product condition (t_rel =…
Talk on
Concentration of Lipschitz Functionals of Determinantal and Other Strong Rayleigh MeasuresFunctional Inequalities in Discrete Spaces with Applications 20132013-09-30
Proves that homogeneous measures with the stochastic covering property (including strong Rayleigh/determinantal and balanced matroid laws such as uniform…
Talk
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