55 min
Aldous-type Spectral Gaps in Unitary Groups
Probability Theory, Algebra and seminar by Gil Alon, The Open University of Israel
Tuesday 09:00 Los Angeles (GMT-7)
Recording available
Berkeley, United States
Recording
Abstract
A unitary-group analogue of Aldous' spectral-gap problem randomizes coordinate subspaces associated with weighted hyperedges. Its spectrum contains those of related particle processes and symmetric-group walks. This talk reduces the search for the gap to zero-weight sectors of balanced mixed tensor powers, then proposes equality with a two-particle KMP gap. Proofs cover mean-field and codimension-one cases.
Topics
Aldous' spectral-gap problemunitary-group analogueweighted hyperedgesparticle processessymmetric-group walksbalanced mixed tensor powerszero-weight sectorstwo-particle KMP gapmean-field and codimension-one cases