The Infinite Dyson Brownian Motion with $\beta =2$ Does Not Have a Spectral Gap

Abstract

We prove that the Dirichlet forms associated with the unlabelled infinite Dyson Brownian motion with the inverse temperature $\beta =2$ do not have a spectral gap.

The final version

References in corpus (1)

• Ergodicity of unlabeled dynamics of Dyson's model in infinite dimensions

Cited by in corpus (1)

• Curvature bound of Dyson Brownian Motion