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 …
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 …
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 …
[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 …
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 …
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 …
random and applied. Here we study random maps of $[0, 1] $ which represent dynamical …
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 …
Existence of absolutely continuous invariant measures for higher-dimensional random maps
A Boyarsky, YS Lou - Dynamics and Stability of Systems, 1992 - Taylor & Francis
A random map is a discrete-time dynamical system in which one of a number of
transformations is selected randomly and applied. The main result of this paper provides a …
transformations is selected randomly and applied. The main result of this paper provides a …
Absolutely continuous invariant measures for random non-uniformly expanding maps
We prove existence of (at most denumerable many) absolutely continuous invariant
probability measures for random one-dimensional dynamical systems with asymptotic …
probability measures for random one-dimensional dynamical systems with asymptotic …
Invariant measures for random piecewise convex maps
T Inoue, H Toyokawa - Nonlinearity, 2024 - iopscience.iop.org
We establish the existence of Lebesgue-equivalent conservative and ergodic σ-finite
invariant measures for a wide class of one-dimensional random maps consisting of …
invariant measures for a wide class of one-dimensional random maps consisting of …