Computing invariant measures of piecewise convex transformations.

DOI10.1007/BF02183742zbMath1081.37500MaRDI QIDQ1593408

Jiu Ding

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Frobenius-Perron operatorinvariant measure

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (8)

Absolutely continuous invariant measure of a piecewise concave mapping of [0, 1] ⋮ Computing fixed densities of a class of Frobenius-Perron operators ⋮ A linear spline maximum entropy method for Frobenius-Perron operators of multi-dimensional transformations ⋮ Piecewise convex deterministic dynamical systems and weakly convex random dynamical systems and their invariant measures ⋮ A modified piecewise linear Markov approximation of Markov operators ⋮ Invariant densities for intermittent maps with critical points ⋮ A maximum entropy method for solving Frobenius-Perron operator equations ⋮ Finite approximations of Markov operators

Cites Work

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• Projection solutions of Frobenius-Perron operator equations
• On the approximation of invariant measures
• High order approximation of the Frobenius-Perron operator
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Exact Dynamical Systems and the Frobenius-Perron Operator
• Markov finite approximation of Frobenius-Perron operator
• Error estimates of the Markov finite approximation of the Frobenius-Perron operator
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations

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