Comparing with octopi

Gil Alon; Gady Kozma

doi:10.1214/20-AIHP1054

Comparing with octopi

Gil Alon, Gady Kozma

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2672-2685
Number of pages	14
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	56
Issue number	4
DOIs	https://doi.org/10.1214/20-AIHP1054
State	Published - Nov 2020

Bibliographical note

Publisher Copyright:
© Association des Publications de l'Institut Henri Poincaré, 2020.

Keywords

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

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10.1214/20-AIHP1054

Cite this

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title = "Comparing with octopi",

abstract = "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.",

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

author = "Gil Alon and Gady Kozma",

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year = "2020",

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N2 - 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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KW - The interchange process

KW - The octopus inequality

KW - The quantum Heisenberg ferromagnet

KW - The stirring process

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Comparing with octopi

Abstract

Bibliographical note

Keywords

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