14 citations · 62 across the 27 of their papers we have counts for
9 papers · 1 filter
Sine beta is tail trivial
Theodoros Assiotis, Kohei Suzuki
We prove that the sine beta point process is tail trivial for every beta >0. The key ingredient in the proof is a certain uniform entropy bound, that makes use of the DLR equations…
Infinite-dimensional Dyson Brownian motion(s)
Theodoros Assiotis, Fengyi Li
We study infinite-dimensional Dyson Brownian motions obtained as limits of finite systems without rescaling the actual stochastic dynamics. For , we construct determinantal pr…
Uniqueness for DLR equations of
Theodoros Assiotis
We prove that, for all , the Dobrushin-Lanford-Ruelle (DLR) equations for the unit-intensity point process have a unique stationary solution under a particul…
On the heat flow conjecture for random matrices
Theodoros Assiotis
We prove two families of distinguished cases of the heat flow conjecture for random matrices of Hall-Ho: elliptic Gaussian sources with planar targets, and deterministic Hermitian…
On non-monotonicity of logarithmic energy for random matrices
Theodoros Assiotis
We construct a finite-energy Wigner counterexample and a concrete one-parameter family of Gaussian-regularised Bernoulli entry laws yielding counterexamples to the conjectural dime…
Collision and non-collision for diffusions on configuration space
Theodoros Assiotis, Kohei Suzuki
We develop criteria for collision and non-collision of reversible infinitely many interacting diffusion processes in the real line. The approach is potential-theoretic and is based…
Non-colliding space-time inhomogeneous Markov chains
Theodoros Assiotis, Miles Foster Nyamundanda
We establish the explicit leading order asymptotics, with a quantitative error bound, of tail probabilities of collision times for a class of integrable space-time inhomogeneous Ma…
Brownian motion and stochastic PDE on entire functions
Theodoros Assiotis, Zahra Sadat Mirsajjadi
We construct the full edge scaling limit of the singular values of Brownian motion on the general linear group starting from general conditions. We show…
Moments of CE field partition function, correlations and stochastic zeta
Theodoros Assiotis, Joseph Najnudel
We prove a conjecture of Fyodorov and Keating on the supercritical moments of the partition function of the CE field or equivalently the supercritical moments of moments of the…