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4 papers · 2 filters
Sharpness of the phase transition for parking on random trees
Alice Contat
Recently, a phase transition phenomenon has been established for parking on random trees. We extend the results of Curien and Hénard on general Galton--Watson trees and allow diffe…
The area under a spectrally positive stable excursion and other related processes
Christophe Profeta
We study the distribution of the area under the normalized excursion of a spectrally positive stable L{é}vy process L, as well as the area under its meander, and under L conditione…
Sum rules via large deviations: extension to polynomial potentials and the multi-cut regime
Fabrice Gamboa, Jan Nagel, Alain Rouault
A sum rule is an identity connecting the entropy of a measure with coefficients involved in the construction of its orthogonal polynomials (Jacobi coefficients). Our paper is an ex…
Variable Length Memory Chains: characterization of stationary probability measures
Peggy Cénac, Brigitte Chauvin, Camille Noûs +2
Variable Length Memory Chains (VLMC), which are generalizations of finite order Markov chains, turn out to be an essential tool to modelize random sequences in many domains, as wel…