33 citations · 133 across the 43 of their papers we have counts for
4 papers · 1 filter
Regularization of non-normal matrices by Gaussian noise - the banded Toeplitz and twisted Toeplitz cases
Anirban Basak, Elliot Paquette, Ofer Zeitouni
We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let be a deterministic matrix, and let $G…
A Furstenberg type formula for the speed of distance stationary sequences
Matias Carrasco, Pablo Lessa, Elliot Paquette
We prove a formula for the speed of distance stationary random sequences. A particular case is the classical formula for the largest Lyapunov exponent of an i.i.d. product of two b…
Tridiagonal Models for Dyson Brownian Motion
Diane Holcomb, Elliot Paquette
In this paper, we consider tridiagonal matrices the eigenvalues of which evolve according to -Dyson Brownian motion. This is the stochastic gradient flow on given…
Distributional Lattices on Riemannian symmetric spaces
Elliot Paquette
A Riemannian symmetric space is a Riemannian manifold in which it is possible to reflect all geodesics through a point by an isometry of the space. On such spaces, we introduce the…