Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

D. Blackmore; J. Golenia; A. K. Prykarpatsky; Ya A. Prykarpatsky

doi:10.1007/s11253-013-0764-z

Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

D. Blackmore, J. Golenia, A. K. Prykarpatsky, Ya A. Prykarpatsky

Mathematical Sciences

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

5 Scopus citations

Abstract

Invariant ergodic measures for generalized Boole-type transformations are studied by using an invariant quasimeasure generating function approach based on special solutions for the Frobenius-Perron operator. New two-dimensional Boole-type transformations are introduced and their invariant measures and ergodicity properties are analyzed.

Original language	English (US)
Pages (from-to)	47-63
Number of pages	17
Journal	Ukrainian Mathematical Journal
Volume	65
Issue number	1
DOIs	https://doi.org/10.1007/s11253-013-0764-z
State	Published - Jun 2013

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11253-013-0764-z

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title = "Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations",

abstract = "Invariant ergodic measures for generalized Boole-type transformations are studied by using an invariant quasimeasure generating function approach based on special solutions for the Frobenius-Perron operator. New two-dimensional Boole-type transformations are introduced and their invariant measures and ergodicity properties are analyzed.",

author = "D. Blackmore and J. Golenia and Prykarpatsky, {A. K.} and Prykarpatsky, {Ya A.}",

note = "Funding Information: D. Blackmore acknowledges the National Science Foundation (Grant CMMI-1029809). A. Prykarpatsky and Ya. Prykarpatsky acknowledge the Scientific and Technological Research Council of Turkey (TUBITAK/NASU-111T558 Project) for a partial support of their research.",

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doi = "10.1007/s11253-013-0764-z",

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T1 - Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

AU - Blackmore, D.

AU - Golenia, J.

AU - Prykarpatsky, A. K.

AU - Prykarpatsky, Ya A.

N1 - Funding Information: D. Blackmore acknowledges the National Science Foundation (Grant CMMI-1029809). A. Prykarpatsky and Ya. Prykarpatsky acknowledge the Scientific and Technological Research Council of Turkey (TUBITAK/NASU-111T558 Project) for a partial support of their research.

PY - 2013/6

Y1 - 2013/6

N2 - Invariant ergodic measures for generalized Boole-type transformations are studied by using an invariant quasimeasure generating function approach based on special solutions for the Frobenius-Perron operator. New two-dimensional Boole-type transformations are introduced and their invariant measures and ergodicity properties are analyzed.

AB - Invariant ergodic measures for generalized Boole-type transformations are studied by using an invariant quasimeasure generating function approach based on special solutions for the Frobenius-Perron operator. New two-dimensional Boole-type transformations are introduced and their invariant measures and ergodicity properties are analyzed.

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Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations

Abstract

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