1.4k citations
- Centre National de la Recherche ScientifiqueFR819 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR419 papers
- Laboratoire d'Informatique de Paris-NordFR291 papers
- Sorbonne Paris CitéFR283 papers
- Laboratoire de physique des lasersFR235 papers
- Sorbonne UniversitéFR182 papers
- Université Paris CitéFR178 papers
- Laboratoire des Sciences des Procédés et des MatériauxFR111 papers
- Université Paris-SaclayFR59 papers
- Université Paris-SudFR50 papers
- Université Pierre-et-Marie-CurieFR43 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR37 papers
79 papers · 1 filter
On the Lyapunov exponent for the random field Ising transfer matrix, in the critical case
Orphée Collin, Giambattista Giacomin, Rafael L. Greenblatt +1
We study the top Lyapunov exponent of a product of random matrices appearing in the analysis of several statistical mechanical models with disorder, extending a previo…
Some properties of the principal Dirichlet eigenfunction in Lipschitz domains, via probabilistic couplings
Quentin Berger, Nicolas Bouchot
We study a discrete and continuous version of the spectral Dirichlet problem in an open bounded connected set , in dimension . More precisely, consi…
Infinite disorder renormalization fixed point for the continuum random field Ising chain
Orphée Collin, Giambattista Giacomin, Yueyun Hu
We consider the continuum version of the random field Ising model in one dimension: this model arises naturally as weak disorder scaling limit of the original Ising model. Like for…
Fluctuations of lattice zonotopes and polygons
Théophile Buffière, Philippe Marchal
Following Barany et al., who proved that large random lattice zonotopes converge to a deterministic shape in any dimension after rescaling, we establish a central limit theorem for…
On the branching convolution equation
Pascal Maillard, Bastien Mallein
We characterize all random point measures which are in a certain sense stable under the action of branching. Denoting by the branching convolution operation introduce…
Branching random walks conditioned on rarely survival
Tianyi Bai, Pierre Rousselin
In this paper, we show that a Galton-Watson tree conditioned to have a fixed number of particles in generation converges in distribution as , and with this…