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Preliminaries review of the ergodic theory the Frobenius-Perron operator absolutely continuous invariant measures other existence results spectral decomposition of the Frobenius-Perron operator… (More)

- Paweł F. Góra
- 2009

Over the last century the number of vehicles engaged in the road traffic have been increasing rapidly. Traffic congestion and traffic jams became a serious problem, especially in big agglomerations.… (More)

Abstract A random map is discrete-time dynamical system in which one of a number of transformations is randomly selected and applied at each iteration of the process. Usually the map τ k is chosen… (More)

- Paweł F. Góra
- 2007

Let f be a probability density function on the unit interval I. The inverse Perron-Frobenius problem involves determining a transformation τ: I → I such that the one-dimensional dynamical system x… (More)

A random map is a discrete-time dynamical system in which one of a number of transformations is randomly selected and applied on each iteration of the process. We study random maps with position… (More)

Pour I=[0,1] on note L 1 =L 1 (I,m) l'espace des fonctions integrables sur I, ou m est la mesure de Lebesque. Si τ est une transformation mesurable non-singuliere sur I et μ une mesure de probabilite… (More)

- Paweł F. Góra
- 2009

We find an explicit formula for the invariant density h of an arbitrary eventually expanding piecewise linear map τ of an interval [0,1]. We do not assume that the slopes of the branches are the same… (More)

- Andrzej Szczeklik, Jacek Musial, +4 authors Mariusz Duplaga
- Arteriosclerosis, thrombosis, and vascular…
- 1996

Recent evidence indicates that aspirin inhibits thrombin generation in clotting blood. We noticed that this effect was less pronounced in patients with hypercholesterolemia. The aim of the study was… (More)