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Algunas relaciones entre modelos marcovianos de redes de colas.

Joaquín Aranda Gallego (1982)

Trabajos de Estadística e Investigación Operativa

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.

Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients S2−almost automorphic

Mamadou Moustapha Mbaye (2016)

Nonautonomous Dynamical Systems

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...

Almost everywhere convergence of convolution powers on compact abelian groups

Jean-Pierre Conze, Michael Lin (2013)

Annales de l'I.H.P. Probabilités et statistiques

It is well-known that a probability measure μ on the circle 𝕋 satisfies μ n * f - f d m p 0 for every f L p , every (some) p [ 1 , ) , if and only if | μ ^ ( n ) | l t ; 1 for every non-zero n ( μ is strictly aperiodic). In this paper we study the a.e. convergence of μ n * f for every f L p whenever p g t ; 1 . We prove a necessary and sufficient condition, in terms of the Fourier–Stieltjes coefficients of μ , for the strong sweeping out property (existence of a Borel set B with lim sup μ n * 1 B = 1 a.e. and lim inf μ n * 1 B = 0 a.e.). The results are extended to general compact Abelian groups G with Haar...

Almost Higher Order Stochastic Dominance

Cuizhen Niu, Xu Guo (2014)

RAIRO - Operations Research - Recherche Opérationnelle

In this paper, we develop the concept of almost stochastic dominance for higher order preferences and investigate the related properties of this concept.

Almost sure asymptotic behaviour of the r -neighbourhood surface area of Brownian paths

Ondřej Honzl, Jan Rataj (2012)

Czechoslovak Mathematical Journal

We show that whenever the q -dimensional Minkowski content of a subset A d 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 d , d 3 .

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