2 papers
math.PR2026
Spectral gap for the signed interchange process with arbitrary sets
Gil Alon, Subhajit Ghosh
In 2020, F. Cesi introduced a random walk on the hyperoctahedral group and analysed its spectral gap when the allowed generators are transpositions and diagonal elements corr…
math.GR2025
On the Aldous-Caputo Spectral Gap Conjecture for Hypergraphs
Gil Alon, Gady Kozma, Doron Puder
In their celebrated paper (arXiv:0906.1238), Caputo, Liggett and Richthammer proved Aldous' conjecture and showed that for an arbitrary finite graph, the spectral gap of the interc…