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Quelques espaces fonctionnels associés à des processus gaussiens

Z. Ciesielski, G. Kerkyacharian, B. Roynette (1993)

Studia Mathematica

The first part of the paper presents results on Gaussian measures supported by general Banach sequence spaces and by particular spaces of Besov-Orlicz type. In the second part, a new constructive isomorphism between the just mentioned sequence spaces and corresponding function spaces is established. Consequently, some results on the support function spaces for the Gaussian measure corresponding to the fractional Brownian motion are proved. Next, an application to stochastic equations is given. The...

Quelques remarques sur les facteurs des systèmes dynamiques gaussiens

A. Iwanik, M. Lemańczyk, T. de la Rue, J. de Sam Lazaro (1997)

Studia Mathematica

We study the factors of Gaussian dynamical systems which are generated by functions depending only on a finite number of coordinates. As an application, we show that for Gaussian automorphisms with simple spectrum, the partition ( X 0 0 ) , ( X 0 > 0 ) is generating.

Quermass-interaction process with convex compact grains

Kateřina Helisová, Jakub Staněk (2016)

Applications of Mathematics

The paper concerns an extension of random disc Quermass-interaction process, i.e. the model of discs with mutual interactions, to the process of interacting objects of more general shapes. Based on the results for the random disc process and the process with polygonal grains, theoretical results for the generalized process are derived. Further, a simulation method, its advantages and the corresponding complications are described, and some examples are introduced. Finally, a short comparison to the...

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