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Spectral gap for unlabelled Ginibre Interacting Brownian motion
Kohei Suzuki
We determine the exact spectral gaps for both the finite-particle and infinite-particle unlabelled Ginibre interacting Brownian motions. In every finite-particle system, the spectr…
Infinite Interacting Brownian Motions and EVI Gradient Flows
Kohei Suzuki
We give a sufficient condition under which the time-marginal law of -reversible infinite interacting Brownian motions is characterised as the steepest gradient descent of the re…
A phase transition in the Bakry-Émery gradient estimate for Dyson Brownian motion
Kohei Suzuki, Kenshiro Tashiro
In this paper, we find a gap between the lower bound of the Bakry-Émery -Ricci tensor and the Bakry-Émery gradient estimate in the space associated with…
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.
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…