Feb 4, 2019 · The purpose of these notes is to showcase various methods which have been developed over the last 30 years to study mixing times of Markov ...
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Duration: 1:13:05
Posted: Feb 4, 2021
Posted: Feb 4, 2021
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8. Claim 4.2. Expander graphs of bounded degree have the fastest mixing time (up to constants) among all regular graphs. Proof ...
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Preface to second edition. Since the publication of the first edition, the field of mixing times has continued to enjoy rapid expansion.
We prove a well-known conjecture that the mixing time of this process is (1/k)n log n, with threshold of width linear in n. Our proofs are elementary and purely ...
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Duration: 58:56
Posted: May 16, 2018
Posted: May 16, 2018
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Abstract. For the probabilistic model of shuffling by random transpositions we provide a coupling construction with the expected coupling time of order Cn ...
Markov chains Mixing Times, with Eyal Lubetzky, Roberto I. ... Geometry and Analysis of Random Processes, Cambridge 8-12 April 2013. ... Homepage of Nathanaël ...
In Chapter 8, we pause to examine card shuffling chains. Random walks on the symmetric group are an important mathematical area in their own right, but we hope ...
Let Sn be the permutation group on n elements, and consider a random walk on Sn whose step distribution is uniform on ^-cycles. We prove a well.
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