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most citedThe Infinite Dyson Brownian Motion with Does Not Have a Spectral Gap

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math.PR2024★ 1 cited

The Infinite Dyson Brownian Motion with Does Not Have a Spectral Gap

Kohei Suzuki

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

math.PR2024

Integral Varadhan formula for non-linear heat flow

Shin-ichi Ohta, Kohei Suzuki

We prove the integral Varadhan short-time formula for non-linear heat flow on measured Finsler manifolds. To the best of the authors' knowledge, this is the first result establishi…