14 citations · 62 across the 27 of their papers we have counts for
34 papers
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…
Joint Moments of Characteristic Polynomials from the Orthogonal and Unitary Symplectic Groups
Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating +1
We establish asymptotic formulae for general joint moments of characteristic polynomials and their higher-order derivatives associated with matrices drawn randomly from the groups…
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…
Exchangeable arrays and integrable systems for characteristic polynomials of random matrices
Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating +1
The joint moments of the derivatives of the characteristic polynomial of a random unitary matrix, and also a variant of the characteristic polynomial that is real on the unit circl…
On some integrable models in inhomogeneous space
Theodoros Assiotis
The purpose of this work is to build a framework that allows for an in-depth study of various generalisations to inhomogeneous space of models of Borodin-Ferrari, Dieker-Warren, No…
Exact solution of interacting particle systems related to random matrices
Theodoros Assiotis
We consider one-dimensional diffusions, with polynomial drift and diffusion coefficients, so that in particular the motion can be space-inhomogeneous, interacting via one-sided ref…
Random entire functions from random polynomials with real zeros
Theodoros Assiotis
We point out a simple criterion for convergence of polynomials to a concrete entire function in the Laguerre-Pólya () class (of all functions arising as uniform limit…
On the moments of moments of random matrices and Ehrhart polynomials
Theodoros Assiotis, Edward Eriksson, Wenqi Ni
There has been significant interest in studying the asymptotics of certain generalised moments, called the moments of moments, of characteristic polynomials of random Haar-distribu…
Convergence and an explicit formula for the joint moments of the Circular Jacobi -Ensemble characteristic polynomial
Theodoros Assiotis, Mustafa Alper Gunes, Arun Soor
The problem of convergence of the joint moments, which depend on two parameters and , of the characteristic polynomial of a random Haar-distributed unitary matrix and its de…
On the singular values of complex matrix Brownian motion with a matrix drift
Theodoros Assiotis
Let be the space of complex matrices. Let be Brownian motion on starting from the zero matrix and $\mathb…
On the moments of the partition function of the CE field
Theodoros Assiotis
We obtain a combinatorial formula for the positive integer moments of the partition function of the field, or equivalently the moments of the moments of the characteristi…
Infinite p-adic random matrices and ergodic decomposition of p-adic Hua measures
Theodoros Assiotis
Neretin constructed an analogue of the Hua measures on the infinite -adic matrices . Bufetov and Qiu classified the ergodic measures on…
On a distinguished family of random variables and Painlevé equations
Theodoros Assiotis, Benjamin Bedert, Mustafa Alper Gunes +1
A family of random variables , depending on a real parameter , appears in the asymptotics of the joint moments of characteristic polynomials of rando…
Moments of Generalized Cauchy Random Matrices and continuous-Hahn Polynomials
Theodoros Assiotis, Benjamin Bedert, Mustafa Alper Gunes +1
In this paper we prove that, after an appropriate rescaling, the sum of moments of an $…
On the joint moments of the characteristic polynomials of random unitary matrices
Theodoros Assiotis, Jonathan P. Keating, Jon Warren
We establish the asymptotics of the joint moments of the characteristic polynomial of a random unitary matrix and its derivative for general real values of the exponents, proving a…
On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices
T. Assiotis, E. C. Bailey, J. P. Keating
We establish formulae for the moments of the moments of the characteristic polynomials of random orthogonal and symplectic matrices in terms of certain lattice point count problems…