21.7k citations
- Centre National de la Recherche ScientifiqueFR5.6k papers
- Université Paris CitéFR2.8k papers
- Université Paris Sciences et LettresFR1.5k papers
- Institut d'Astrophysique de ParisFR1.2k papers
- Observatoire de ParisFR1.1k papers
- Laboratoire d’études spatiales et d’instrumentation en astrophysiqueFR1k papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR988 papers
- CEA Paris-SaclayFR841 papers
- Délégation Paris 7FR819 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR772 papers
- Laboratoire de Physique Nucléaire et de Hautes ÉnergiesFR769 papers
- Université Paris-SudFR751 papers
6 papers · 2 filters
An extension of the class of regularly varying functions
Meitner Cadena, Marie Kratz
We define a new class of positive and Lebesgue measurable functions in terms of their asymptotic behavior, which includes the class of regularly varying functions. We also characte…
Speed of convergence in first passage percolation and geodesicity of the average distance
Romain Tessera
We give an elementary proof that Talagrand's sub-Gaussian concentration inequality implies a limit shape theorem for first passage percolation on any Cayley graph of Z^d, with a bo…
The strict-weak lattice polymer
Ivan Corwin, Timo Seppäläinen, Hao Shen
We introduce the strict-weak polymer model, and show the KPZ universality of the free energy fluctuation of this model for a certain range of parameters. Our proof relies on the ob…
Cutting down -trees and inhomogeneous continuum random trees
Nicolas Broutin, Minmin Wang
We study a fragmentation of the -trees of Camarri and Pitman [Elect. J. Probab., vol. 5, pp. 1--18, 2000]. We give exact correspondences between the -trees an…
Sample genealogy and mutational patterns for critical branching populations
G. Achaz, C. Delaporte, A. Lambert
We study a universal object for the genealogy of a sample in populations with mutations: the critical birth-death process with Poissonian mutations, conditioned on its population s…
On the Laplace transform of the Fréchet distribution
K. A. Penson, K. Górska
We calculate exactly the Laplace transform of the Fréchet distribution in the form , , , for arbitrary rational values of the sh…