Comparing With Octopi

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES（2020）

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摘要

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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关键词

The interchange process, The stirring process, Random walk on the symmetric group, The quantum Heisenberg ferromagnet, Mixing times, The octopus inequality

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