36 citations · 118 across the 15 of their papers we have counts for
17 papers
The spectrum of the stochastic Bessel operator at high temperature
Laure Dumaz, Hugo Magaldi
Ramírez and Rider (2009) established that the hard edge of the spectrum of the -Laguerre ensemble converges, in the high-dimensional limit, to the bottom of the spectrum of the…
Long-Range Correlation of the Sine point Process
Laure Dumaz, Martin Malvy
We study the correlations of the celebrated Sine point process. This point process arises as the bulk scaling limit of -ensembles and has a geometric description through the…
Anderson localization for the -d Schrödinger operator with white noise potential
Laure Dumaz, Cyril Labbé
We consider the random Schrödinger operator on obtained by perturbing the Laplacian with a white noise. We prove that Anderson localization holds for this operator: al…
The delocalized phase of the Anderson Hamiltonian in -d
Laure Dumaz, Cyril Labbé
We introduce a random differential operator, that we call the operator, whose spectrum is given by the $\mbox{Sch}_τ$ point process introduced by Kritchevski, Valkó…
Localization crossover for the continuous Anderson Hamiltonian in -d
Laure Dumaz, Cyril Labbé
We investigate the behavior of the spectrum of the continuous Anderson Hamiltonian , with white noise potential, on a segment whose size is sent to infinity. We…
Operator level hard-to-soft transition for -ensembles
Laure Dumaz, Yun Li, Benedek Valkó
The soft and hard edge scaling limits of -ensembles can be characterized as the spectra of certain random Sturm-Liouville operators. It has been shown that by tuning the paramet…
The stochastic Airy operator at large temperature
Laure Dumaz, Cyril Labbé
It was shown in [J. A. Ramírez, B. Rider and B. Virág. J. Amer. Math. Soc. 24, 919-944 (2011)] that the edge of the spectrum of ensembles converges in the large limit to th…
Acoustic and geoacoustic inverse problems in randomly perturbed shallow-water environments
Laure Dumaz, Josselin Garnier, Guilhem Lepoultier
The main goal of this paper is to estimate the regional acoustic and geoacoustic shallow-water environment from data collected by a vertical hydrophone array and transmitted by dis…
Localization of the continuous Anderson Hamiltonian in -d
Laure Dumaz, Cyril Labbé
We study the bottom of the spectrum of the Anderson Hamiltonian on driven by a white noise and endowed with either Dirichlet or Neu…
Near-critical spanning forests and renormalization
Stéphane Benoist, Laure Dumaz, Wendelin Werner
We study random two-dimensional spanning forests in the plane that can be viewed both in the discrete case and in their appropriately taken scaling limits as a uniformly chosen spa…
From Sine kernel to Poisson statistics
Romain Allez, Laure Dumaz
We study the Sine process introduced in [B. Valkó and B. Virág. Invent. math. (2009)] when the inverse temperature tends to 0. This point process has been shown to be the s…
Random matrices in non-confining potentials
Romain Allez, Laure Dumaz
We consider invariant matrix processes diffusing in non-confining cubic potentials of the form . We construct the trajectories of such process…
Tracy-Widom at high temperature
Romain Allez, Laure Dumaz
We investigate the marginal distribution of the bottom eigenvalues of the stochastic Airy operator when the inverse temperature tends to . We prove that the minimal eigenval…
Marginal densities of the "true" self-repelling motion
Laure Dumaz, Bálint Tóth
Let X(t) be the true self-repelling motion (TSRM) constructed by B.T. and Wendelin Werner in 1998, L(t,x) its occupation time density (local time) and H(t):=L(t,X(t)) the height of…
A clever (self-repelling) burglar
Laure Dumaz
We derive the following property of the "true self-repelling motion", a continuous real-valued self-interacting process (X_t, t \ge 0) introduced by Balint Toth and Wendelin Werner…
Large deviations and path properties of the true self-repelling motion
Laure Dumaz
We derive some large deviation bounds for events related to the "true self-repelling motion", a one-dimensional self-interacting process introduced by Toth and Werner, that has ver…
The right tail exponent of the Tracy-Widom-beta distribution
Laure Dumaz, Bálint Virág
The Tracy-Widom beta distribution is the large dimensional limit of the top eigenvalue of beta random matrix ensembles. We use the stochastic Airy operator representation to show t…