4.9k citations
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR3.4k papers
- Centre National de la Recherche ScientifiqueFR2.7k papers
- CEA Paris-SaclayFR2.2k papers
- Université Paris-SaclayFR1.2k papers
- CEA Paris-Saclay - Etablissement de SaclayFR362 papers
- Sorbonne UniversitéFR310 papers
- École Normale Supérieure - PSLFR277 papers
- European Organization for Nuclear ResearchCH208 papers
- Université Paris Sciences et LettresFR191 papers
- Institut d'Astrophysique de ParisFR181 papers
- Université Paris CitéFR175 papers
- Université Paris-SudFR172 papers
7 papers · 2 filters
Rational differential systems, loop equations, and application to the q-th reductions of KP
Michel Bergère, Gaëtan Borot, Bertrand Eynard
To any solution of a linear system of differential equations, we associate a kernel, correlators satisfying a set of loop equations, and in presence of isomonodromic parameters, a…
The Open Quantum Brownian Motion
Michel Bauer, Denis Bernard, Antoine Tilloy
Using quantum parallelism on random walks as original seed, we introduce new quantum stochastic processes, the open quantum Brownian motions. They describe the behaviors of quantum…
About the x-y symmetry of the F_g algebraic invariants
B. Eynard, N. Orantin
We complete the proof of the x-y symmetry of symplectic invariants of [EO]. We recall the main steps of the proof of [EO2], and we include the integration constants absent in [EO2]…
A completeness-like relation for Bessel functions
Paulo H. F. Reimberg, L. Raul Abramo
Completeness relations are associated through Mercer's theorem to complete orthonormal basis of square integrable functions, and prescribe how a Dirac delta function can be decompo…
Planar maps, circle patterns and 2d gravity
Francois David, Bertrand Eynard
Via circle pattern techniques, random planar triangulations (with angle variables) are mapped onto Delaunay triangulations in the complex plane. The uniform measure on triangulatio…
Universal shocks in the Wishart random-matrix ensemble - a sequel
Jean-Paul Blaizot, Maciej A. Nowak, Piotr Warchoł
We study the diffusion of complex Wishart matrices and derive a partial differential equation governing the behavior of the associated averaged characteristic polynomial. In the li…