Constructive approximations to the invariant densities of higher- dimensional transformations

DOI10.1007/BF01205163zbMath0796.28012OpenAlexW2055330729MaRDI QIDQ1322593

V. Pereyra

Publication date: 12 September 1994

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01205163

zbMATH Keywords

approximationsinvariant densitieshigher-dimensional transformationsJablonski transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Ergodic theory (37A99)

Related Items (4)

Computing fixed densities of a class of Frobenius-Perron operators ⋮ Finite approximations of Frobenius-Perron operators. A solution of Ulam's conjecture to multi-dimensional transformations ⋮ On the number of invariant measures for random expanding maps in higher dimensions ⋮ Finite approximations of Markov operators

Cites Work

• Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
• Approximating measures invariant under higher-dimensional chaotic transformations
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Compactness of Invariant Densities for Families of Expanding, Piecewise Monotonic Transformations
• Introdction to Measure and Probability
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