Conditionally invariant measures for position dependent random maps of an interval with holes

Wael Bahsoun; Paweł Góra

doi:10.1142/S0218127406014915

Conditionally invariant measures for position dependent random maps of an interval with holes

Wael Bahsoun, Paweł Góra

Economics

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

Abstract

We study position dependent random maps on the unit interval with holes where the possible laws of motion are piecewise monotonic transformations. The main result of this note is proving the existence of absolutely continuous conditionally invariant measures. © World Scientific Publishing Company.

Original language	English
Pages (from-to)	437-444
Number of pages	7
Journal	International Journal of Bifurcation and Chaos
Volume	16
Issue number	2
DOIs	https://doi.org/10.1142/S0218127406014915
Publication status	Published - Feb 2006

Keywords

Absolutely continuous conditionally invariant measure
Frobenius-Perron operator
Random map

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10.1142/S0218127406014915

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title = "Conditionally invariant measures for position dependent random maps of an interval with holes",

abstract = "We study position dependent random maps on the unit interval with holes where the possible laws of motion are piecewise monotonic transformations. The main result of this note is proving the existence of absolutely continuous conditionally invariant measures. {\textcopyright} World Scientific Publishing Company.",

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AB - We study position dependent random maps on the unit interval with holes where the possible laws of motion are piecewise monotonic transformations. The main result of this note is proving the existence of absolutely continuous conditionally invariant measures. © World Scientific Publishing Company.

KW - Absolutely continuous conditionally invariant measure

KW - Frobenius-Perron operator

KW - Random map

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M3 - Article

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JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 2

ER -

Conditionally invariant measures for position dependent random maps of an interval with holes

Abstract

Keywords

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