Outputs (2)

The Infinite Dyson Brownian Motion with β=2 Does Not Have a Spectral Gap (2024)
Journal Article
Suzuki, K. (online). The Infinite Dyson Brownian Motion with β=2 Does Not Have a Spectral Gap. Bulletin of the London Mathematical Society, https://doi.org/10.1112/blms.13204

We prove that the Dirichlet forms associated with the unlabelled infinite Dyson Brownian motion with the inverse temperature β = 2 $\beta =2$ do not have a spectral gap.

Wasserstein geometry and Ricci curvature bounds for Poisson spaces (2024)
Journal Article
Dello Schiavo, L., Herry, R., & Suzuki, K. (2024). Wasserstein geometry and Ricci curvature bounds for Poisson spaces. Journal de l’École polytechnique — Mathématiques, 11, 957-1010. https://doi.org/10.5802/jep.270

We study the geometry of Poisson point processes from the point of view of optimal transport and Ricci lower bounds. We construct a Riemannian structure on the space of point processes and the associated distance W that corresponds to the Benamou–Bre... Read More about Wasserstein geometry and Ricci curvature bounds for Poisson spaces.