Kohei Suzuki

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math.PR2025

Infinite Interacting Brownian Motions and EVI Gradient Flows

Kohei Suzuki

We give a sufficient condition under which the time-marginal law of $I^¼$ -reversible infinite interacting Brownian motions is characterised as the steepest gradient descent of the r…

math.PR2025

A phase transition in the Bakry-Ãmery gradient estimate for Dyson Brownian motion

Kohei Suzuki, Kenshiro Tashiro

In this paper, we find a gap between the lower bound of the Bakry-Ãmery $N$ -Ricci tensor $Ric_{N}$ and the Bakry-Ãmery gradient estimate $BE$ in the space associated wi…

math.PR2025

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…

math.PR2025

The Infinite Dyson Brownian Motion with $I^^{2} = 2$ 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 $I^^{2} = 2$ do not have a spectral gap.

Infinite Interacting Brownian Motions and EVI Gradient Flows

A phase transition in the Bakry-Ãmery gradient estimate for Dyson Brownian motion

Integral Varadhan formula for non-linear heat flow

The Infinite Dyson Brownian Motion with I^2=2 Does Not Have a Spectral Gap

A phase transition in the Bakry-Ãmery gradient estimate for Dyson Brownian motion

The Infinite Dyson Brownian Motion with $I^^{2} = 2$ Does Not Have a Spectral Gap