On a Bernoulli property of some piecewise \(C^ 2\)-diffeomorphisms in \(\mathbb{R}^ d\)

DOI10.1007/BF01404005zbMath0792.58024OpenAlexW2082425403MaRDI QIDQ1313307

Piotr. Bugiel

Publication date: 7 August 1994

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178618

zbMATH Keywords

Frobenius-Perron operatorBernoulli shiftMarkov maps

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Measure-preserving transformations (28D05) Topological dynamics (37B99) Ergodic theory (37A99)

Related Items (1)

Approximation for the invariant measures of Markov maps in \(\mathbb{R}^ d\)

Cites Work

• On a Bernoulli property for multidimensional mappings with finite range structure
• Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
• Ergodic properties of Markov maps in \(R^ d\)
• Ergodic properties of invariant measures for piecewise monotonic transformations
• Bernoulli maps of the interval
• Some aspects of Ornstein's theory of isomorphism problems in ergodic theory
• Remarks on the isomorphism theorems for weak Bernoulli transformations in general case
• Exact Dynamical Systems and the Frobenius-Perron Operator
• On the Number of All Absolutely Continuous, Ergodic Measures of MARKOV Type Transformations Defined on an Interval
• Some properties of absolutely continuous invariant measures on an interval
• Some ergodic properties of multi-dimensional f-expansions

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