First return maps of random maps and invariant measures

T Inoue - Nonlinearity, 2019 - iopscience.iop.org
We consider a family of transformations and study a random dynamical system such that one
transformation is randomly selected from the family and then applied on each iteration. To …

Invariant measures for position dependent random maps with continuous random parameters

T Inoue - Studia Mathematica, 2012 - infona.pl
We consider a family of transformations with a random parameter and study a random
dynamical system in which one transformation is randomly selected from the family and …

Comparison theorems for invariant measures of random dynamical systems

T Inoue - arXiv preprint arXiv:2303.09784, 2023 - arxiv.org
We study a random dynamical system such that one transformation is randomly selected
from a family of transformations and then applied on each iteration. For such random …

A generalization of Straube′ s theorem: existence of absolutely continuous invariant measures for random maps

M Shafiqul Islam, P Góra… - International Journal of …, 2005 - Wiley Online Library
A random map is a discrete‐time dynamical system in which one of a number of
transformations is randomly selected and applied at each iteration of the process. In this …

Weakly convex and concave random maps with position dependent probabilities

W Bahsoun, P Góra - 2003 - Taylor & Francis
A random map is a discrete‐time dynamical system in which one of a number of
transformations is randomly selected and applied in each iteration of the process. In this …

[PDF][PDF] Position-dependent random maps in one and higher dimensions

W Bahsoun, P Gora - 2009 - researchgate.net
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. In this …

Existence, approximation and properties of absolutely continuous invariant measures for random maps

MS Islam - 2004 - library-archives.canada.ca
A random map is a discrete-time dynamical system where one of a number of
transformations is selected randomly and applied in each iteration of the process. In this …

Absolutely continuous invariant measures for random maps with position dependent probabilities

P Góra, A Boyarsky - Journal of mathematical analysis and applications, 2003 - Elsevier
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 …

On the absolutely continuous invariant measures for random maps

E AlFarajat, P Góra - International Journal of Bifurcation and Chaos, 2022 - World Scientific
We study the dynamics of a new family of transformations. We find a general formula for the
invariant density of any transformation in our family. The properties of the family allow us to …

Invariant densities for random maps of the interval

S Pelikan - Transactions of the American Mathematical Society, 1984 - ams.org
A random map is a discrete time process in which one of a number of functions is selected at
random and applied. Here we study random maps of $[0, 1] $ which represent dynamical …