Agrégation limitée par diffusion interne sur Zd
En este artículo se describen algunos de los modelos markovianos de redes de colas más interesantes, como los de Jackson, Gordon y Newell, Reiser y Kobayashi y otros, estudiando las relaciones existentes entre ellos. Se demuestra que la solución conocida como "forma de producto" es válida para todos ellos con las modificaciones apropiadas en cada caso.
In this work we first introduce the concept of Poisson Stepanov-like almost automorphic (Poisson S2−almost automorphic) processes in distribution. We establish some interesting results on the functional space of such processes like an composition theorems. Next, under some suitable assumptions, we establish the existence, the uniqueness and the stability of the square-mean almost automorphic solutions in distribution to a class of abstract stochastic evolution equations driven by Lévy noise in case...
It is well-known that a probability measure on the circle satisfies for every , every (some) , if and only if for every non-zero ( is strictly aperiodic). In this paper we study the a.e. convergence of for every whenever . We prove a necessary and sufficient condition, in terms of the Fourier–Stieltjes coefficients of , for the strong sweeping out property (existence of a Borel set with a.e. and a.e.). The results are extended to general compact Abelian groups with Haar...
In this paper, we develop the concept of almost stochastic dominance for higher order preferences and investigate the related properties of this concept.
We prove an extension of a result by Peres and Solomyak on almost sure absolute continuity in a class of symmetric Bernoulli convolutions.
The possibilities of almost sure approximation of unbounded operators in by multiples of projections or unitary operators are examined.
We show that whenever the -dimensional Minkowski content of a subset exists and is finite and positive, then the “S-content” defined analogously as the Minkowski content, but with volume replaced by surface area, exists as well and equals the Minkowski content. As a corollary, we obtain the almost sure asymptotic behaviour of the surface area of the Wiener sausage in , .