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arXiv · 2408.10131

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

Kohei Suzuki
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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.

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Kohei Suzuki. 2024-08-19. The Infinite Dyson Brownian Motion with $\beta=2$ Does Not Have a Spectral Gap. https://doi.org/10.1112/blms.13204

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