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
13 papers · 1 filter
On the formula of Goulden and Rattan for Kerov polynomials
Philippe Biane
We give a simple proof of an explicit formula for Kerov polynomials. This formula is closely related to a formula of Goulden and Rattan.
Rectangular random matrices, related free entropy and free Fisher's information
Florent Benaych-Georges
We prove that independent rectangular random matrices, when embedded in a space of larger square matrices, are asymptotically free with amalgamation over a commutative finite dimen…
Random trees and applications
Jean-Francois Le Gall
We discuss several connections between discrete and continuous random trees. In the discrete setting, we focus on Galton-Watson trees under various conditionings. In particular, we…
Regenerative real trees
Mathilde Weill
In this work, we give a description of all sigma-finite measures on the space of rooted compact real trees which satisfy a certain regenerative property. We show that any infinite…
The conformally invariant measure on self-avoiding loops
Wendelin Werner
We show that there exists a unique (up to multiplication by constants) and natural measure on simple loops in the plane and on each Riemann surface, such that the measure is confor…
Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert
R. Cluckers, F. Loeser
We introduce spaces of exponential constructible functions in the motivic setting for which we construct direct image functors in the absolute and relative cases. This allows us to…
Hierarchical testing designs for pattern recognition
Gilles Blanchard, Donald Geman
We explore the theoretical foundations of a ``twenty questions'' approach to pattern recognition. The object of the analysis is the computational process itself rather than probabi…
Counting overlattices in automorphism groups of trees
Seonhee Lim
We give an upper bound for the number of ``overlattices'' in the automorphism group of a tree, containing a fixed lattice with index n. For an example of a lattice in the automorph…
Stochastic flows associated to coalescent processes III: Limit theorems
Jean Bertoin, Jean-François Le Gall
We prove several limit theorems that relate coalescent processes to continuous-state branching processes. Some of these theorems are stated in terms of the so-called generalized Fl…
Analytic cell decomposition and analytic motivic integration
R. Cluckers, L. Lipshitz, Z. Robinson
The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef-Pas language, and its application to analyt…
An invariance principle for conditioned trees
Jean-Francois Le Gall
We consider Galton-Watson trees associated with a critical offspring distribution and conditioned to have exactly vertices. These trees are embedded in the real line by affecti…
Smoothness of solenoidal attractors
Artur Avila, Sebastien Gouezel, Masato Tsujii
We consider dynamical systems generated by skew products of affine contractions on the real line over angle-multiplying maps on the circle : $ T:S^{1}\times \R\to S^1\times \R…
Discrete and continuous Yang-Mills measure for non-trivial bundles over compact surfaces
Thierry Levy
We construct one Yang-Mills measure on a compact surface for each isomorphism class of principal bundles over this surface. For this, we define a new discrete gauge theory which is…