Invariant measures of \(C^ 2\)-diffeomorphisms of Markov type in \(\mathbb{R}^ d\)

DOI10.1007/BF01301070zbMath0765.58014MaRDI QIDQ1207669

Piotr. Bugiel

Publication date: 12 May 1993

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

Full work available at URL: https://eudml.org/doc/178565

zbMATH Keywords

extreme pointFrobenius-Perron operatorMarkov mapergodic measuresexpanding maplinear projectionpiecewise \(C^ 2\)-diffeomorphism

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodic theory (37A99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Unnamed Item
• Ergodic properties of Markov maps in \(R^ d\)
• First return map and invariant measures
• On the Number of All Absolutely Continuous, Ergodic Measures of MARKOV Type Transformations Defined on an Interval
• Ergodic Transformations from an Interval Into Itself

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