Structural properties and limit behaviour of linear stochastic systems in Hilbert spaces
Structural relation
Structure of mixing and category of complete mixing for stochastic operators
Let T be a stochastic operator on a σ-finite standard measure space with an equivalent σ-finite infinite subinvariant measure λ. Then T possesses a natural "conservative deterministic factor" Φ which is the Frobenius-Perron operator of an invertible measure preserving transformation φ. Moreover, T is mixing ("sweeping") iff φ is a mixing transformation. Some stronger versions of mixing are also discussed. In particular, a notion of *L¹-s.o.t. mixing is introduced and characterized in terms of weak...
Study of Queuing Systems with a Generalized Departure Process
This work was supported by the Bulgarian National Science Fund under grant BY-TH-105/2005.This paper deals with a full accessibility loss system and a single server delay system with a Poisson arrival process and state dependent exponentially distributed service time. We use the generalized service flow with nonlinear state dependence mean service time. The idea is based on the analytical continuation of the Binomial distribution and the classic M/M/n/0 and M/M/1/k system. We apply techniques based...
Study of the Iterations of a Mapping Associated to a Spin Glass Model
Study of the stability of the queueing network of Lu-Kumar-Bramson by the fluid limit method. (Étude par la méthode des limites fluides de la stabilité du réseau de file d'attente de Lu-Kumar-Bramson.)
Study on Kalman filter in time series analysis
Subcritical branching diffusions
Subdiagonal and almost uniform distributions.
Subdiffusive behavior of random walk on a random cluster
Subdominant eigenvalues for stochastic matrices with given column sums.
Subexponential tail asymptotics for a random walk with randomly placed one-way nodes
Subgaussian random variables in Hilbert spaces
Subgaussianity and exponential integrability of real random variables: comparison of the norms
Nello spazio delle variabili aleatorie subgaussiane definite su si studia l'equivalenza tra la norma subgaussiana e la norma di Fernique, dando valutazioni numeriche delle costanti di equivalenza. A tale scopo si fa uso di una nuova caratterizzazione della norma subgaussiana delle variabili aleatorie simmetriche.
Sublineare Abbildungen und ein Konvergenzsatz von Banach.
Submedidas C y cuantificación de probabilidades comparativas.
De los axiomas de Villegas para probabilidades comparativas, el de continuidad monótona resulta suficiente para la compatibilidad con una submedida C (Ortiz, 1980, Teo. 8), mientras que el axioma de no existencia de átomos, junto con el anterior, caracteriza la subclase de probabilidades comparativas sin átomos que pueden representarse mediante medidas de probabilidad. El estudio de las propiedades de las submedidas C nos conduce a proponer en este trabajo un nuevo axioma, que junto al de continuidad...
Suboptimality Of Stochastic Systems: Structural Uncertainties And Information Constraints
Subordination of infinite-dimensional stationary stochastic processes
Substable and pseudo-isotropic processes. Connections with the geometry of subspaces of [Book]
Substochastic transition operators on trees and their associated Poisson integrals