output
20032020
most citedThe enzyme-like catalytic activity of cerium oxide nanoparticles and its dependency on Ce3+ surface area concentration

330 citations

Showing 2015 · math.PRShow all

6 papers · 2 filters

math.PR2015★ 1 cited

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…

math.PR2015

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…

math.PR2015★ 2 cited

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…

math.PR2015

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…

math.PR2015★ 20 cited

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…

math.PR2015

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…