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Comparing with octopi

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arxiv 1811.10537 v1 pith:FBKZYXPV submitted 2018-11-26 math.PR

Gil Alon , Gady Kozma This is my paper · ORCID
classification math.PR
keywords inequalitiesbeencaputocomparingextractflavourgeometricinequality
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Operator inequalities with a geometric flavour have been successful in studying mixing of random walks and quantum mechanics. We suggest a new way to extract such inequalities using the octopus inequality of Caputo, Liggett and Richthammer.

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  1. Mixing time and cutoff phenomenon for the interchange process on dumbbell graphs and the labelled exclusion process on the complete graph

    math.PR 2019-08 conditional novelty 8.0 of 10

    The interchange process on dumbbell graphs has a sharp cutoff exactly when the smaller clique size tends to infinity, with the mixing time scaling crossing at m ~ sqrt(n).

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