Dissipative systems
Distance de Fortet-Mourier et fonctions log-concaves
Distribution of the Maximum of the Number of Impulses at Any Instant in a Type II Counter in a Given Interval of Time.
Dobrushin's approach to queueing network theory.
Duality of Schramm-Loewner evolutions
In this note, we prove a version of the conjectured duality for Schramm-Loewner Evolutions, by establishing exact identities in distribution between some boundary arcs of chordal , , and appropriate versions of , .
Duality theory for self-similar processes
Dynamic analysis of a unified multivariate counting process and its asymptotic behavior.
Dynamic scheduling of a parallel server system in heavy traffic with complete resource pooling: asymptotic optimality of a threshold policy.
Dynamical Percolation
Dynamical phase transitions in disordered systems : the study of a random walk model
Dynamical sensitivity of the infinite cluster in critical percolation
In dynamical percolation, the status of every bond is refreshed according to an independent Poisson clock. For graphs which do not percolate at criticality, the dynamical sensitivity of this property was analyzed extensively in the last decade. Here we focus on graphs which percolate at criticality, and investigate the dynamical sensitivity of the infinite cluster. We first give two examples of bounded degree graphs, one which percolates for all times at criticality and one which has exceptional...
Edge processes of one dimensional stochastic growth models
Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model
Edge-reinforced random walk (ERRW), introduced by Coppersmith and Diaconis in 1986 [8], is a random process which takes values in the vertex set of a graph and is more likely to cross edges it has visited before. We show that it can be represented in terms of a vertex-reinforced jump process (VRJP) with independent gamma conductances; the VRJP was conceived by Werner and first studied by Davis and Volkov [10, 11], and is a continuous-time process favouring sites with more local time. We calculate,...
Effect of the Variable Offset Distance on the Kill Probability.
Effective utilization of idle time in an inventory with positive service time.
Eine Modifikation des Palmschen Modells für grosse Mehrmaschinenbedienungssysteme
Einstein relation for biased random walk on Galton–Watson trees
We prove the Einstein relation, relating the velocity under a small perturbation to the diffusivity in equilibrium, for certain biased random walks on Galton–Watson trees. This provides the first example where the Einstein relation is proved for motion in random media with arbitrarily slow traps.
Elementary potential theory on the hypercube.
Éléments de probabilités quantiques. X. Approximation de l'oscillateur harmonique (d'après L. Accardi et A. Bach)
Entropy considerations in the noncommutative setting.