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.
Entropy maximization and the busy period of some single-server vacation models
In this paper, information theoretic methodology for system modeling is applied to investigate the probability density function of the busy period in vacation models operating under the -, - and -policies. The information about the density function is limited to a few mean value constraints (usually the first moments). By using the maximum entropy methodology one obtains the least biased probability density function satisfying the system’s constraints. The analysis of the three controllable...
Entropy maximization and the busy period of some single-server vacation models
In this paper, information theoretic methodology for system modeling is applied to investigate the probability density function of the busy period in M/G/1 vacation models operating under the N-, T- and D-policies. The information about the density function is limited to a few mean value constraints (usually the first moments). By using the maximum entropy methodology one obtains the least biased probability density function satisfying the system's constraints. The analysis of the three controllable...
Équations différentielles provenant de la génétique de population
Equilibrium fluctuations for a one-dimensional interface in the solid on solid approximation.
Equilibrium fluctuations for lattice gases
Equilibrium states for the Landau-Fermi-Dirac equation
A kinetic collision operator of Landau type for Fermi-Dirac particles is considered. Equilibrium states are rigorously determined under minimal assumptions on the distribution function of the particles. The particular structure of the considered operator (strong non-linearity and degeneracy) requires a special investigation compared to the classical Boltzmann or Landau operator.
Equilibrium statistical mechanics of frustrated spin glasses : a survey of mathematical results
Equivalence factors of a parallel-series system.
Equivalence of exponential decay rates for bootstrap percolation like cellular automata
Erdős-Renyi random graphs forest fires self-organized criticality.
Ergodic and central limit theorems in statistical mechanics in continuous case