3 papers
math.PR2026
Infinite-Particle Determinantal Dynamics from Brownian Motion on
Zahra Sadat Mirsajjadi
We study the edge scaling limit of the logarithms of the squared singular values of multiplicative Brownian motion on the general linear group with gene…
math.PR2026
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…
math.PR2024
ISDE with logarithmic interaction and characteristic polynomials
Theodoros Assiotis, Zahra Sadat Mirsajjadi
We consider certain random matrix eigenvalue dynamics, akin to Dyson Brownian motion, introduced by Rider and Valko. We show that from every initial condition, including ones invol…