Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants
Y. le Jan (1987)
Annales de l'I.H.P. Probabilités et statistiques
Ai Fan (1991)
Studia Mathematica
S. Mitrović (1984)
Matematički Vesnik
Önalan, Ömer (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
Joseph Rosenblatt (1981)
Mathematische Annalen
Kieffer, John, Yang, En-hui (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
G. Maillard, T. S. Mountford (2013)
Annales de l'I.H.P. Probabilités et statistiques
We answer some questions raised by Gantert, Löwe and Steif (Ann. Inst. Henri Poincaré Probab. Stat.41(2005) 767–780) concerning “signed” voter models on locally finite graphs. These are voter model like processes with the difference that the edges are considered to be either positive or negative. If an edge between a site and a site is negative (respectively positive) the site will contribute towards the flip rate of if and only if the two current spin values are equal (respectively opposed)....
Tyrone E. Duncan, B. Maslowski, B. Pasik-Duncan (2015)
Banach Center Publications
A linear-quadratic control problem with an infinite time horizon for some infinite dimensional controlled stochastic differential equations driven by a fractional Brownian motion is formulated and solved. The feedback form of the optimal control and the optimal cost are given explicitly. The optimal control is the sum of the well known linear feedback control for the associated infinite dimensional deterministic linear-quadratic control problem and a suitable prediction of the adjoint optimal system...
Jiří Michálek (1986)
Kybernetika
R. T. Smythe (1975)
Annales de l'I.H.P. Probabilités et statistiques
U. Krengel, M.A. Akcoglu (1981)
Journal für die reine und angewandte Mathematik
Jones, Roger L. (1997)
The New York Journal of Mathematics [electronic only]
Zhang, Chuanyi (2001)
International Journal of Mathematics and Mathematical Sciences
M. Hairer, N. S. Pillai (2011)
Annales de l'I.H.P. Probabilités et statistiques
We demonstrate that stochastic differential equations (SDEs) driven by fractional brownian motion with Hurst parameter H>½ have similar ergodic properties as SDEs driven by standard brownian motion. The focus in this article is on hypoelliptic systems satisfying Hörmander’s condition. We show that such systems enjoy a suitable version of the strong Feller property and we conclude that under a standard controllability condition they admit a unique stationary solution that is physical in the...
Petr Čoupek, Pavel Křížek, Bohdan Maslowski (2025)
Czechoslovak Mathematical Journal
A new proof of the mixing property of the increments of Rosenblatt processes is given. The proof relies on infinite divisibility of the Rosenblatt law that allows to prove only the pointwise convergence of characteristic functions. Subsequently, the result is used to prove weak consistency of an estimator for the self-similarity parameter of a Rosenblatt process, and to prove the existence of a random attractor for a random dynamical system induced by a stochastic reaction-diffusion equation driven...
Louis, Pierre-Yves (2004)
Electronic Communications in Probability [electronic only]
Mohamed A. El-Shehawey, A. M. Trabya (2006)
Mathematica Slovaca
Laurent Schwartz (1982)
Séminaire de probabilités de Strasbourg
Victor H. de La Peña (1995)
Annales de l'I.H.P. Probabilités et statistiques
P. Cattiaux, C. Léonard (1995)
Annales de l'I.H.P. Probabilités et statistiques