48 citations · 127 across the 8 of their papers we have counts for
6 papers · 2 filters
Timescales of population rarity and commonness in random environments
R. Ferriere, A. Guionnet, I. Kurkova
This paper investigates the influence of environmental noise on the characteristic timescale of the dynamics of density-dependent populations. General results are obtained on the s…
Long time behavior of the solutions to non-linear Kraichnan equations
Alice Guionnet, Christian Mazza
We consider the solution of a nonlinear Kraichnan equation with a covariance kernel and boundary condition $H…
Cugliandolo-Kurchan equations for dynamics of Spin-Glasses
Gerard Ben Arous, Amir Dembo, Alice Guionnet
We study the Langevin dynamics for the family of spherical -spin disordered mean-field models and prove that in the limit of system size approaching infinity, the empirical…
Large deviations and stochastic calculus for large random matrices
Alice Guionnet
Large random matrices appear in different fields of mathematics and physics such as combinatorics, probability theory, statistics, operator theory, number theory, quantum field the…
An asymptotic log-Fourier interpretation of the R-transform
Alice Guionnet, Mylene Maida
We estimate the asymptotics of spherical integrals when the rank of one matrix is finite. We show that it is given in terms of the R-transform of the spectral measure of the full r…
Character expansion method for the first order asymptotics of a matrix integral
Alice Guionnet, Mylene Maida
The estimation of various matrix integrals as the size of the matrices goes to infinity is motivated by theoretical physics, geometry and free probability questions. On a rigorous…