333 citations
- University of California, BerkeleyUS10 papers
- University of WashingtonUS10 papers
- Northeastern UniversityUS9 papers
- Princeton UniversityUS9 papers
- Columbia UniversityUS8 papers
- Fermi National Accelerator LaboratoryUS8 papers
- Johannes Gutenberg University MainzDE8 papers
- Lancaster UniversityGB8 papers
- Ludwig-Maximilians-Universität MünchenDE8 papers
- University of BonnDE8 papers
- University of FreiburgDE8 papers
- University of MichiganUS8 papers
10 papers · 1 filter
Small counts in the infinite occupancy scheme
A. D. Barbour, A. V. Gnedin
The paper is concerned with the classical occupancy scheme with infinitely many boxes, in which balls are thrown independently into boxes , with probability of h…
On a nonhierarchical version of the Generalized Random Energy Model. II. Ultrametricity
Erwin Bolthausen, Nicola Kistler
We study the Gibbs measure of the nonhierarchical versions of the Generalized Random Energy Models introduced in previous work. We prove that the ultrametricity holds only provided…
The quenched critical point of a diluted disordered polymer model
Erwin Bolthausen, Francesco Caravenna, Béatrice de Tilière
We consider a model for a polymer interacting with an attractive wall through a random sequence of charges. We focus on the so-called diluted limit, when the charges are very rare…
Coupling a branching process to an infinite dimensional epidemic process
A. D. Barbour
Branching process approximation to the initial stages of an epidemic process has been used since the 1950's as a technique for providing stochastic counterparts to deterministic ep…
Asymptotic behavior of a metapopulation model
A. D. Barbour, A. Pugliese
We study the behavior of an infinite system of ordinary differential equations modeling the dynamics of a metapopulation, a set of (discrete) populations subject to local catastrop…
Regenerative Compositions in the Case of Slow Variation
Andrew D. Barbour, Alexander V. Gnedin
For a subordinator and an independent Poisson process of intensity we are interested in the number of gaps in the range of that are hit by at le…