Weakly Convex and Concave Random Maps with Position Dependent Probabilities

Wael Bahsoun; Pawel Góra

doi:10.1081/SAP-120024700

Weakly Convex and Concave Random Maps with Position Dependent Probabilities

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 in each iteration of the process. In this paper, we study random maps with position dependent probabilities on the interval. Sufficient conditions for the existence of absolutely continuous invariant measures for weakly convex and concave random maps with position dependent probabilities is the main result of this note.

Original language	English
Pages (from-to)	983-994
Number of pages	11
Journal	Stochastic Analysis and Applications
Volume	21
Issue number	5
DOIs	https://doi.org/10.1081/SAP-120024700
Publication status	Published - 2003

Keywords

Absolutely continuous invariant measure
Frobenius-Perron operator
Random map

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title = "Weakly Convex and Concave Random Maps with Position Dependent Probabilities",

abstract = "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 paper, we study random maps with position dependent probabilities on the interval. Sufficient conditions for the existence of absolutely continuous invariant measures for weakly convex and concave random maps with position dependent probabilities is the main result of this note.",

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AU - Góra, Pawel

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AB - 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 paper, we study random maps with position dependent probabilities on the interval. Sufficient conditions for the existence of absolutely continuous invariant measures for weakly convex and concave random maps with position dependent probabilities is the main result of this note.

KW - Absolutely continuous invariant measure

KW - Frobenius-Perron operator

KW - Random map

U2 - 10.1081/SAP-120024700

DO - 10.1081/SAP-120024700

M3 - Article

SN - 1532-9356

VL - 21

SP - 983

EP - 994

JO - Stochastic Analysis and Applications

JF - Stochastic Analysis and Applications

IS - 5

ER -

Weakly Convex and Concave Random Maps with Position Dependent Probabilities

Abstract

Keywords

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