678 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- École Normale Supérieure - PSLFR647 papers
- Centre National de la Recherche ScientifiqueFR243 papers
- Université Paris Sciences et LettresFR162 papers
- Centre de Recherche en Mathématiques de la DécisionFR56 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR55 papers
- Laboratoire de Mathématiques d'OrsayFR53 papers
- Sorbonne UniversitéFR49 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR45 papers
- Université Paris CitéFR42 papers
- Université Paris Dauphine-PSLFR34 papers
- Université Pierre-et-Marie-CurieFR33 papers
- Laboratoire Jacques-Louis LionsFR31 papers
9 papers · 2 filters
Some applications of duality for Lévy processes in a half-line
Jean Bertoin, Mladen Savov
The central result of this paper is an analytic duality relation for real-valued Lévy processes killed upon exiting a half-line. By Nagasawa's theorem, this yields a remarkable tim…
Sublinear variance for directed last-passage percolation
B. T. Graham
A range of first-passage percolation type models are believed to demonstrate the related properties of sublinear variance and superdiffusivity. We show that directed last-passage p…
Bridge Decomposition of Restriction Measures
Tom Alberts, Hugo Duminil-Copin
Motivated by Kesten's bridge decomposition for two-dimensional self-avoiding walks in the upper half plane, we show that the conjectured scaling limit of the half-plane SAW, the SL…
Law of large numbers for the maximal flow through tilted cylinders in two-dimensional first passage percolation
Raphaël Rossignol, Marie Théret
Equip the edges of the lattice with i.i.d. random capacities. We prove a law of large numbers for the maximal flow crossing a rectangle in when the si…
On limits of Graphs Sphere Packed in Euclidean Space and Applications
Itai Benjamini, Nicolas Curien
The core of this note is the observation that links between circle packings of graphs and potential theory developed in \cite{BeSc01} and \cite{HS} can be extended to higher dimens…
Fixation for Distributed Clustering Processes
Marcelo R. Hilario, Oren Louidor, Charles M. Newman +3
We study a discrete-time resource flow in , where wealthier vertices attract the resources of their less rich neighbors. For any translation-invariant probability distribution…
Central limit theorem for the heat kernel measure on the unitary group
Thierry Lévy, Mylène Maïda
We prove that for a finite collection of real-valued functions on the group of complex numbers of modulus 1 which are derivable with Lipschitz continuous derivati…
A limit theorem for trees of alleles in branching processes with rare neutral mutations
Jean Bertoin
We are interested in the genealogical structure of alleles for a Bienaymé-Galton-Watson branching process with neutral mutations (infinite alleles model), in the situation where th…
The critical Z-invariant Ising model via dimers: locality property
Cédric Boutillier, Béatrice de Tilière
We study a large class of critical two-dimensional Ising models, namely critical Z-invariant Ising models. Fisher [Fis66] introduced a correspondence between the Ising model and th…