8 papers
On the heat flow conjecture for random matrices
Theodoros Assiotis
We prove general cases of the heat flow conjecture for random matrices of Hall-Ho. In particular, the empirical measure of the zeros of the heat-flow-evolved characteristic polynom…
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…