Ergodic theory, boole type transformations, dynamical systems theory

Anatolij K. Prykarpatski

Conference Proceedings

Ergodic theory, boole type transformations, dynamical systems theory

Prykarpatski A

Trends in Mathematics (2015) 2 325-333

DOI: 10.1007/978-3-319-12577-0_38

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Abstract

The arithmetic properties of generalized one-dimensional ergodic Boole type transformations are studied in the framework of the operator-theoretic approach. Some invariant measure statements and ergodicity conjectures concerning generalized multi-dimensional Boole-type transformations are formulated.

Author supplied keywords

Arithmetic properties
Ergodic dynamical systems
Frobenius-Perron operator
Generalized Boole type transformations
Invariant measures

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Prykarpatski, A. K. (2015). Ergodic theory, boole type transformations, dynamical systems theory. In Trends in Mathematics (Vol. 2, pp. 325–333). Springer International Publishing. https://doi.org/10.1007/978-3-319-12577-0_38

Ergodic theory, boole type transformations, dynamical systems theory

Abstract

Author supplied keywords

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