330 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR67 papers
- Mathématiques Appliquées à Paris 5FR54 papers
- Sorbonne Paris CitéFR25 papers
- Université Paris CitéFR17 papers
- Délégation Paris 5FR9 papers
- Laboratoire Psychologie de la PerceptionFR9 papers
- Sorbonne UniversitéFR9 papers
- Université Paris DiderotFR9 papers
- InsermFR8 papers
- Université Pierre-et-Marie-CurieFR8 papers
- École Normale Supérieure - PSLFR7 papers
- Université Paris NanterreFR7 papers
34 papers · 1 filter
A system of interacting neurons with short term synaptic facilitation
Antonio Galves, Eva Löcherbach, Christophe Pouzat +1
In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represente…
On A Mixture Of Brenier and Strassen Theorems
Nathael Gozlan, Nicolas Juillet
We give a characterization of optimal transport plans for a variant of the usual quadratic transport cost introduced in [33]. Optimal plans are composition of a deterministic trans…
Moderate deviations for a stochastic Burgers equation
Rachid Belfadli, Lahcen Boulanba, Mohamed Mellouk
A moderate deviations principle for the law of a stochastic Burgers equation is proved via the weak convergence approach. In addition, some useful estimates toward a central limit…
Nonparametric Estimation in Fractional SDE
Fabienne Comte, Nicolas Marie
This paper deals with the consistency and a rate of convergence for a Nadaraya-Watson estimator of the drift function of a stochastic differential equation driven by an additive fr…
Multiple sets exponential concentration and higher order eigenvalues
Nathaël Gozlan, Ronan Herry
On a generic metric measured space, we introduce a notion of improved concentration of measure that takes into account the parallel enlargement of k distinct sets. We show that the…
Non-criticality criteria for Abelian sandpile models with sources and sinks
Frank Redig, Wioletta M. Ruszel, Ellen Saada
We prove that the Abelian sandpile model on a random binary and binomial tree, as introduced in \cite{rrs}, is not critical for all branching probabilities ; by estimating the…
An alternative to the coupling of Berkes-Liu-Wu for strong approximations
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
In this paper we propose an alternative to the coupling of Berkes, Liu and Wu [1] to obtain strong approximations for partial sums of dependent sequences. The main tool is a new Ro…
Deviation inequalities for convex functions motivated by the Talagrand conjecture
Nathael Gozlan, Mokshay Madiman, Cyril Roberto +1
Motivated by Talagrand's conjecture on regularization properties of the natural semigroup on the Boolean hypercube, and in particular its continuous analogue involving regularizati…
Asymptotic distribution of nodal intersections for arithmetic random waves
Maurizia Rossi, Igor Wigman
We study the nodal intersections number of random Gaussian toral Laplace eigenfunctions ("arithmetic random waves") against a fixed smooth reference curve. The expected intersectio…
Multiplying a Gaussian Matrix by a Gaussian Vector
Pierre-Alexandre Mattei
We provide a new and simple characterization of the multivariate generalized Laplace distribution. In particular, this result implies that the product of a Gaussian matrix with ind…
Empirical spectral distribution of a matrix under perturbation
Florent Benaych-Georges, Nathanaël Enriquez, Alkéos Michaïl
We provide a perturbative expansion for the empirical spectral distribution of a Hermitian matrix with large size perturbed by a random matrix with small operator norm whose entrie…
The Defect of Random Hyperspherical Harmonics
Maurizia Rossi
Random hyperspherical harmonics are Gaussian Laplace eigenfunctions on the unit -sphere (). We investigate the distribution of their defect i.e., the difference between…
Fluctuation of matrix entries and application to outliers of elliptic matrices
Florent Benaych-Georges, Guillaume Cébron, Jean Rochet
For any family of random matrices which is invariant, in law, under unitary conjugation, we give general sufficient conditions for central lim…
Bounds to the normal for proximity region graphs
Larry Goldstein, Tobias Johnson, Raphaël Lachièze-Rey
In a proximity region graph in , two distinct points of a point process are connected when the 'forbidden region' these points determine…
Bicovariograms and Euler characteristic of random fields excursions
Raphaël Lachièze-Rey
Let f be a C1 bivariate function with Lipschitz derivatives, and F = {x R2 : f(x) } an upper level set of f, with R. We present a new identity giving the Euler c…
Complex outliers of Hermitian random matrices
Jean Rochet
In this paper, we study the asymptotic behavior of the outliers of the sum a Hermitian random matrix and a finite rank matrix which is not necessarily Hermitian. We observe several…
Fluctuations for analytic test functions in the Single Ring Theorem
Florent Benaych-Georges, Jean Rochet
We consider a non-Hermitian random matrix whose distribution is invariant under the left and right actions of the unitary group. The so-called Single Ring Theorem, proved by Gu…
Transition from Gaussian to non-Gaussian fluctuations for mean-field diffusions in spatial interaction
Eric Luçon, Wilhelm Stannat
We consider a system of disordered mean-field interacting diffusions within spatial constraints: each particle is attached to one site of a periodic lattice and the…
Local Single Ring Theorem
Florent Benaych-Georges
The Single Ring Theorem, by Guionnet, Krishnapur and Zeitouni, describes the empirical eigenvalue distribution of a large generic matrix with prescribed singular values, i.e. an $N…
Supercriticality conditions for asymmetric zero-range process with sitewise disorder
C. Bahadoran, T. Mountford, K. Ravishankar +1
We discuss necessary and sufficient conditions for the convergence of disordered asymmetric zero-range process to the critical invariant measures.
Fluctuations of linear statistics of half-heavy-tailed random matrices
Florent Benaych-Georges, Anna Maltsev
We consider a Wigner matrix with entries tail decaying as with for large and study fluctuations of linear statistics . The beh…
The diameter of a random elliptical cloud
Yann Demichel, Ana Karina Fermin, Philippe Soulier
We study the asymptotic behavior of the diameter or maximum interpoint distance of a cloud of i.i.d. -dimensional random vectors when the number of points in the cloud tends to…
Large deviations for a fractional stochastic heat equation in spatial dimension driven by a spatially correlated noise
Tarik El Mellali, Mohamed Mellouk
In this paper we study the Large Deviation Principle (LDP in abbreviation) for a class of Stochastic Partial Differential Equations (SPDEs) in the whole space , with…
Outliers in the Single Ring Theorem
Florent Benaych-Georges, Jean Rochet
This text is about spiked models of non Hermitian random matrices. More specifically, we consider matrices of the type , where the rank of stays bounded as the dimension g…