A compactness theorem for approximating the invariant densities of higher dimensional transformations

DOI10.1006/jmaa.1993.1060zbMath0777.28009OpenAlexW1976406972MaRDI QIDQ2367659

Yanyan Li

Publication date: 18 August 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1060

zbMATH Keywords

fixed pointabsolutely continuous invariant measureFrobenius-Perron operatorMarkov transformationsinvariant density\(n\)-dimensional cubeJablonski transformationpiecewise expanding transformationapproximating invariant densities

Mathematics Subject Classification ID

Ergodic theory (37A99) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (1)

Finite approximations of Frobenius-Perron operators. A solution of Ulam's conjecture to multi-dimensional transformations

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