Comparing with octopi

Gil Alon; Gady Kozma

doi:10.1214/20-AIHP1054

Comparing with octopi

Gil Alon, Gady Kozma

Open University of Israel, Weizmann Institute of Science

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

Keywords

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

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1214/20-AIHP1054

Cite this

@article{c7cb8b7cc7704f688a1734537836093e,

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",

note = "Publisher Copyright: {\textcopyright} Association des Publications de l'Institut Henri Poincar{\'e}, 2020.",

year = "2020",

month = nov,

doi = "10.1214/20-AIHP1054",

language = "الإنجليزيّة",

volume = "56",

pages = "2672--2685",

journal = "Annales de l'institut Henri Poincare (B) Probability and Statistics",

issn = "0246-0203",

publisher = "Institute of Mathematical Statistics",

number = "4",

}

TY - JOUR

T1 - Comparing with octopi

AU - Alon, Gil

AU - Kozma, Gady

N1 - Publisher Copyright: © Association des Publications de l'Institut Henri Poincaré, 2020.

PY - 2020/11

Y1 - 2020/11

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.

AB - 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.

KW - Mixing times

KW - Random walk on the symmetric group

KW - The interchange process

KW - The octopus inequality

KW - The quantum Heisenberg ferromagnet

KW - The stirring process

UR - http://www.scopus.com/inward/record.url?scp=85094946276&partnerID=8YFLogxK

U2 - 10.1214/20-AIHP1054

DO - 10.1214/20-AIHP1054

M3 - مقالة

SN - 0246-0203

VL - 56

SP - 2672

EP - 2685

JO - Annales de l'institut Henri Poincare (B) Probability and Statistics

JF - Annales de l'institut Henri Poincare (B) Probability and Statistics

IS - 4

ER -

Comparing with octopi

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this