Addendum to the article “On ballistic diffusions in random environment”
Lian Shen (2004)
Annales de l'I.H.P. Probabilités et statistiques
Joseph Rosenblatt (1988)
Mathematische Annalen
Ryszard Jajte, Adam Paszkiewicz (1998)
Studia Mathematica
The possibilities of almost sure approximation of unbounded operators in by multiples of projections or unitary operators are examined.
Ye, Daxiang, Wu, Qunying (2011)
Journal of Inequalities and Applications [electronic only]
Martikainen, A.I. (2004)
Zapiski Nauchnykh Seminarov POMI
Gonchigdanzan, Khurelbaatar (2002)
International Journal of Mathematics and Mathematical Sciences
Zhao, Shengli, Peng, Zuoxiang, Wu, Songlin (2010)
Journal of Inequalities and Applications [electronic only]
Khurelbaatar Gonchigdanzan (2010)
ESAIM: Probability and Statistics
We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive random variables with finite second moment.
Túri, J. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Michał Seweryn (2010)
Banach Center Publications
For a sequence of dependent random variables we consider a large class of summability methods defined by R. Jajte in [jaj] as follows: For a pair of real-valued nonnegative functions g,h: ℝ⁺ → ℝ⁺ we define a sequence of “weighted averages” , where g and h satisfy some mild conditions. We investigate the almost sure behavior of such transformations. We also take a close look at the connection between the method of summation (that is the pair of functions (g,h)) and the coefficients that measure...
Y. Git (1998)
Séminaire de probabilités de Strasbourg
Tibor Pogány (1991)
Publications de l'Institut Mathématique
Nicolas Pouyanne (2008)
Annales de l'I.H.P. Probabilités et statistiques
Pólya processes are natural generalizations of Pólya–Eggenberger urn models. This article presents a new approach of their asymptotic behaviour via moments, based on the spectral decomposition of a suitable finite difference transition operator on polynomial functions. Especially, it provides new results for large processes (a Pólya process is called small when 1 is a simple eigenvalue of its replacement matrix and when any other eigenvalue has a real part ≤1/2; otherwise, it is called large).
Beata Rodzik, Zdzislaw Rychlik (1994)
Annales de l'I.H.P. Probabilités et statistiques
Hartmut Lanzinger (1998)
ESAIM: Probability and Statistics
Hartmut Lanzinger (2010)
ESAIM: Probability and Statistics
We prove a strong law of large numbers for moving averages of independent, identically distributed random variables with certain subexponential distributions. These random variables show a behavior that can be considered intermediate between the classical strong law and the Erdös-Rényi law. We further show that the difference from the classical behavior is due to the influence of extreme terms.
Lin, Fuming (2009)
Electronic Communications in Probability [electronic only]
Tómács, Tibor (2008)
Annales Mathematicae et Informaticae
Thomas Mountford, Pierre Tarrès (2008)
Annales de l'I.H.P. Probabilités et statistiques
We consider a model of the shape of a growing polymer introduced by Durrett and Rogers (Probab. Theory Related Fields92 (1992) 337–349). We prove their conjecture about the asymptotic behavior of the underlying continuous process Xt (corresponding to the location of the end of the polymer at time t) for a particular type of repelling interaction function without compact support.
Jiří Anděl, Václav Dupač (1989)
Commentationes Mathematicae Universitatis Carolinae