33 citations · 133 across the 43 of their papers we have counts for
8 papers · 1 filter
Secular Coefficients and the Holomorphic Multiplicative Chaos
Joseph Najnudel, Elliot Paquette, Nick Simm
We study the secular coefficients of random unitary matrices drawn from the Circular -Ensemble, which are defined as the coefficients of in the ch…
Strong approximation of Gaussian -ensemble characteristic polynomials: the edge regime and the stochastic Airy function
Gaultier Lambert, Elliot Paquette
We investigate the characteristic polynomials of the Gaussian -ensemble for general through its transfer matrix recurrence. We show that the rescaled characteristic polyno…
Anchored expansion of Delaunay complexes in real hyperbolic space and stationary point processes
Itai Benjamini, Yoav Krauz, Elliot Paquette
We give sufficient conditions for a discrete set of points in any dimensional real hyperbolic space to have positive anchored expansion. The first condition is a bounded mean densi…
Universality for the conjugate gradient and MINRES algorithms on sample covariance matrices
Elliot Paquette, Thomas Trogdon
We present a probabilistic analysis of two Krylov subspace methods for solving linear systems. We prove a central limit theorem for norms of the residual vectors that are produced…
Interval fragmentations with choice: equidistribution and the evolution of tagged fragments
Pascal Maillard, Elliot Paquette
We consider a Markovian evolution on point processes, the --process, on the unit interval in which points are added according to a rule that depends only on the spacings of the…
Gaussian analytic functions of bounded mean oscillation
Alon Nishry, Elliot Paquette
We consider random analytic functions given by a Taylor series with independent, centered complex Gaussian coefficients. We give a new sufficient condition for such a function to h…
Strong approximation of Gaussian beta-ensemble characteristic polynomials: the hyperbolic regime
Gaultier Lambert, Elliot Paquette
We investigate the characteristic polynomials of the Gaussian -ensemble for general through its transfer matrix recurrence. Our motivation is to obtain a (probabilis…
Topology of random 2-dimensional cubical complexes
Matthew Kahle, Elliot Paquette, Érika Roldán
We study a natural model of random 2-dimensional cubical complex which is a subcomplex of an n-dimensional cube, and where every possible square -face is included independently…