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

DOI10.1007/BF02622104zbMath0845.58042MaRDI QIDQ1910187

Piotr. Bugiel

Publication date: 16 September 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174839

zbMATH Keywords

Frobenius-Perron operatorinvariant measurestochastic matrixergodic measureinvariant probabilistic densitiesmultidimensional expanding transformation

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Measure-preserving transformations (28D05) Approximation by operators (in particular, by integral operators) (41A35) Ergodic theory (37A99)

Cites Work

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• Ergodic properties of Markov maps in \(R^ d\)
• Invariant measures for many-one transformations
• Approximating measures invariant under higher-dimensional chaotic transformations
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• On a Bernoulli property of some piecewise \(C^ 2\)-diffeomorphisms in \(\mathbb{R}^ d\)
• Approximation for the measures of ergodic transformations of the real line
• On Functions of Bounded Variation in Higher Dimensions
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations

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