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4 papers · 2 filters
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…
Universal structures in some mean field spin glasses, and an application
Erwin Bolthausen, Nicola Kistler
We discuss a spin glass reminiscent of the Random Energy Model, which allows in particular to recast the Parisi minimization into a more classical Gibbs variational principle, ther…
Recurrence and transience of a multi-excited random walk on a regular tree
Anne-Laure Basdevant, Arvind Singh
We study a model of multi-excited random walk on a regular tree which generalizes the models of the once excited random walk and the digging random walk introduced by Volkov (2003)…
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…