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.

arXiv commentThe final version

References in corpus (4)

• Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials
• Non-Equilibrium Dynamics of Dyson's Model with an Infinite Number of Particles
• Infinite Dimensional Stochastic Differential Equations for Dyson's Model
• Ergodicity of unlabeled dynamics of Dyson's model in infinite dimensions

Cited by in corpus (1)

• Curvature bound of Dyson Brownian Motion