Mixing time of the switch chain on regular bipartite graphs

Pierre Yousseff (NYU Abu Dhabi)

15-Dec-2020, 15:30-16:30 (4 years ago)

Abstract: Given a fixed integer d, we consider the switch chain on the set of d-regular bipartite graphs on n vertices equipped with the uniform measure. We prove a sharp Poincar� and log-Sobolev inequality implying that the mixing time of the switch chain is at most O(n log^2n) which is optimal up to a logarithmic term. This improves on earlier results of Kannan, Tetali, Vempala and Dyer et al. who obtained the bounds O(n^13 log n) and O(n^7 log n) respectively. This is a joint work with Konstantin Tikhomirov.

analysis of PDEsmetric geometryprobability

Audience: researchers in the topic


Online asymptotic geometric analysis seminar

Series comments: The link: technion.zoom.us/j/99202255210

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Organizers: Galyna Livshyts*, Liran Rotem*, Dmitry Ryabogin, Konstantin Tikhomirov, Artem Zvavitch
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