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20242026
most citedThe Infinite Dyson Brownian Motion with Does Not Have a Spectral Gap

1 citations · 1 across the 8 of their papers we have counts for

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8 papers

math.PR2026

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…

math.CO2025

Hidden low-discrepancy structures in random point sets

Kohei Suzuki, Takashi Goda

We study the probabilistic existence of point configurations satisfying the -net property in base within a randomly generated point set of size in the -dimens…

cond-mat.stat-mech2025

Simulated Annealing for Quadratic and Higher-Order Unconstrained Integer Optimization

Kohei Suzuki

Simulated annealing (SA) is a key algorithm for solving combinatorial optimization problems, which model numerous real-world systems. While SA is commonly used to solve quadratic u…

math.PR2025

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…

quant-ph2025

Quantum Annealing with Qubit-Resonator Systems for Simultaneous Optimization of Binary and Continuous Variables

Seiya Endo, Shohei Kawakatsu, Hiromichi Matsuyama +2

Quantum annealing is a method developed to solve combinatorial optimization problems by utilizing quantum bits. Solving such problems corresponds to minimizing a cost function defi…

math.PR2025

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…

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…