5 citations · 8 across the 5 of their papers we have counts for
6 papers
Polyharmonic functions and random processes in cones
Francois Chapon, Eric Fusy, Kilian Raschel
We investigate polyharmonic functions associated to Brownian motion and random walks in cones. These are functions which cancel some power of the usual Laplacian in the continuous…
The outliers among the singular values of large rectangular random matrices with additive fixed rank deformation
Francois Chapon, Romain Couillet, Walid Hachem +1
Consider the matrix where the matrix $X_n \in \C^{N\times n}$ has Gaussian standard independent elements, is a deterministic diagonal non…
Random right eigenvalues of Gaussian quaternionic matrices
Florent Benaych-Georges, Francois Chapon
We consider a random matrix whose entries are independent Gaussian variables taking values in the field of quaternions with variance . Using logarithmic potential theory, we p…
Affine Dunkl processes
Francois Chapon
We introduce the analogue of Dunkl processes in the case of an affine root system of type . The construction of the affine Dunkl process is achieved by a sk…
Quantum random walks and minors of Hermitian Brownian motion
Francois Chapon, Manon Defosseux
Considering quantum random walks, we construct discrete-time approximations of the eigenvalues processes of minors of Hermitian Brownian motion. It has been recently proved by Adle…
Interlacing Property of Zeros of Eigenvectors of Schrödinger Operators on Trees
Francois Chapon
We prove an analogue for trees of Courant's theorem on the interlacing property of zeros of eigenfunctions of a Schrödinger operator. Let be a finite tree, and a S…