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 …

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 …

[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 …

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 …

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 …

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 …

Deterministic representations for position dependent random maps

W Bahsoun, C Bose, A Quas - 2008 - dspace.library.uvic.ca
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 …

On a random mapping (T, Pj)

J Jaworski - Journal of applied probability, 1984 - cambridge.org
A random mapping (T, Pj) of a finite set V into itself is studied. We give a new proof of the
fundamental lemma of [6]. Our method leads to the derivation of several results which cannot …

Absolutely continuous invariant measures for random non-uniformly expanding maps

V Araujo, J Solano - Mathematische Zeitschrift, 2014 - Springer
We prove existence of (at most denumerable many) absolutely continuous invariant
probability measures for random one-dimensional dynamical systems with asymptotic …

[PDF][PDF] Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities

MF Barnsley, SG Demko, JH Elton… - Annales de l'IHP …, 1988 - numdam.org
Consider a discrete-time Markov process on a locally compact metric space X obtained by
randomly iterating Lipschitz maps wl,..., w~; the probability p~(x) of choosing map w~ at each …