Comparing with octopi

Gil Alon, Gady Kozma

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)2672-2685
Number of pages14
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Issue number4
StatePublished - Nov 2020

Bibliographical note

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


  • 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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