41 citations
- Aix-Marseille UniversitéFR2 papers
- Centre de Physique ThéoriqueFR2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Délégation Paris 6FR2 papers
- Sorbonne UniversitéFR2 papers
- Technische Universität BerlinDE2 papers
- Université de ToulonFR2 papers
- Berlin Mathematical SchoolDE1 paper
- Bielefeld UniversityDE1 paper
- Centre d’Immunologie de Marseille-LuminyFR1 paper
- Laboratoire de Mathématiques Analyse, Probabilités, Modélisation OrléansFR1 paper
- Laboratoire de Probabilités et Modèles AléatoiresFR1 paper
6 papers
Energy statistics in disordered systems: The local REM conjecture and beyond
Anton Bovier, Irina Kurkova
Recently, Bauke and Mertens conjectured that the local statistics of energies in random spin systems with discrete spin space should in most circumstances be the same as in the ran…
Trimmed trees and embedded particle systems
Klaus Fleischmann, Jan M. Swart
In a supercritical branching particle system, the trimmed tree consists of those particles which have descendants at all times. We develop this concept in the superprocess setting.…
Poisson convergence in the restricted -partioning problem
Anton Bovier, Irina Kurkova
The randomized -number partitioning problem is the task to distribute i.i.d. random variables into groups in such a way that the sums of the variables in each group are…
Universality of residence-time distributions in non-adiabatic stochastic resonance
Nils Berglund, Barbara Gentz
We present mathematically rigorous expressions for the residence-time and first-passage-time distributions of a periodically forced Brownian particle in a bistable potential. For a…
An asymptotic maximum principle for essentially linear evolution models
E. Baake, M. Baake, A. Bovier +1
Recent work on mutation-selection models has revealed that, under specific assumptions on the fitness function and the mutation rates, asymptotic estimates for the leading eigenval…
On the noise-induced passage through an unstable periodic orbit I: Two-level model
Nils Berglund, Barbara Gentz
We consider the problem of stochastic exit from a planar domain, whose boundary is an unstable periodic orbit, and which contains a stable periodic orbit. This problem arises when…