Comparing with octopi

Gil Alon; Gady Kozma

doi:10.1214/20-AIHP1054

Comparing with octopi

Gil Alon, Gady Kozma

Mathematics discipline

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

Funding Information:
We wish to thank Nick Crawford for noting the application to the Hamming graph. We thank Jonathan Hermon for many interesting discussions, and for Lemma 4. GK is supported by the Israel Science Foundation, by the Jesselson Foundation and by Paul and Tina Gardner.

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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Comparing with octopi

Abstract

Bibliographical note

Keywords

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