Position dependent random maps in one and higher dimensions

Wael Bahsoun; Pawel Góra

doi:10.4064/sm166-3-5

Position dependent random maps in one and higher dimensions

Wael Bahsoun
, Pawel Góra

Economics

Research output: Contribution to journal › Article › peer-review

Abstract

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 dependent probabilities on the interval and on a bounded domain of ℝ n. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of ℝ n are the main results.

Original language	English
Pages (from-to)	271-286
Number of pages	15
Journal	Studia Mathematica
Volume	166
Issue number	3
DOIs	https://doi.org/10.4064/sm166-3-5
Publication status	Published - 2005

Keywords

Absolutely continuous invariant measure
Perron-Frobenius operator
Random map

Access to Document

10.4064/sm166-3-5

http://journals.impan.gov.pl/sm/

Cite this

@article{bc1f5ec660754085a88b3eacc3002190,

title = "Position dependent random maps in one and higher dimensions",

abstract = "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 dependent probabilities on the interval and on a bounded domain of ℝ n. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of ℝ n are the main results.",

keywords = "Absolutely continuous invariant measure, Perron-Frobenius operator, Random map",

author = "Wael Bahsoun and Pawel G{\'o}ra",

year = "2005",

doi = "10.4064/sm166-3-5",

language = "English",

volume = "166",

pages = "271--286",

journal = "Studia Mathematica",

issn = "0039-3223",

publisher = "Institute of Mathematics. Polish Academy of Sciences",

number = "3",

}

TY - JOUR

T1 - Position dependent random maps in one and higher dimensions

AU - Bahsoun, Wael

AU - Góra, Pawel

PY - 2005

Y1 - 2005

N2 - 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 dependent probabilities on the interval and on a bounded domain of ℝ n. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of ℝ n are the main results.

AB - 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 dependent probabilities on the interval and on a bounded domain of ℝ n. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of ℝ n are the main results.

KW - Absolutely continuous invariant measure

KW - Perron-Frobenius operator

KW - Random map

U2 - 10.4064/sm166-3-5

DO - 10.4064/sm166-3-5

M3 - Article

SN - 0039-3223

VL - 166

SP - 271

EP - 286

JO - Studia Mathematica

JF - Studia Mathematica

IS - 3

ER -

Position dependent random maps in one and higher dimensions

Abstract

Keywords

Access to Document

Fingerprint

Cite this