Deterministic representations for position dependent random maps
We give a deterministic representation for position dependent random maps and describe
the structure of its set of invariant measures. Our construction generalizes the skew product …
the structure of its set of invariant measures. Our construction generalizes the skew product …
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 …
transformations is randomly selected and applied at each iteration of the process. Usually …
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 …
dynamical system in which one transformation is randomly selected from the family and …
Stochastic perturbations of position dependent random maps
W Bahsoun, P Góra, A Boyarsky - Stochastics and Dynamics, 2003 - World Scientific
A random map is a dynamical system consisting of a collection of maps which are selected
randomly by means of fixed probabilities at each iteration. In this note, we consider …
randomly by means of fixed probabilities at each iteration. In this note, we consider …
[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 …
transformations is randomly selected and applied on each iteration of the process. In this …
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 …
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 …
transformations is randomly selected and applied in each iteration of the process. In this …
Equivalence of physical and SRB measures in random dynamical systems
A Blumenthal, LS Young - Nonlinearity, 2019 - iopscience.iop.org
We give a geometric proof, offering a new and quite different perspective on an earlier result
of Ledrappier and Young on random transformations (Ledrappier and Young 1988 Probab …
of Ledrappier and Young on random transformations (Ledrappier and Young 1988 Probab …
[HTML][HTML] Linear response for random dynamical systems
We study for the first time linear response for random compositions of maps, chosen
independently according to a distribution P. We are interested in the following question: how …
independently according to a distribution P. We are interested in the following question: how …
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 …
transformation is randomly selected from the family and then applied on each iteration. To …