The Infinite Dyson Brownian Motion with $\beta=2$ Does Not Have a Spectral Gap
Probability
2025-01-28 v2
Abstract
We prove that the Dirichlet forms associated with the unlabelled infinite Dyson Brownian motion with the inverse temperature do not have a spectral gap.
Keywords
Cite
@article{arxiv.2408.10131,
title = {The Infinite Dyson Brownian Motion with $\beta=2$ Does Not Have a Spectral Gap},
author = {Kohei Suzuki},
journal= {arXiv preprint arXiv:2408.10131},
year = {2025}
}
Comments
The final version