Computing fixed densities of a class of Frobenius-Perron operators

DOI10.1016/S0362-546X(97)00490-2zbMath0947.47026MaRDI QIDQ4264304

Aihui Zhou, Jiu Ding

Publication date: 6 November 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Frobenius-Perron operatorMarkov operatordensity functions

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Linear operators on function spaces (general) (47B38)

Cites Work

• Unnamed Item
• Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Constructive approximations to the invariant densities of higher- dimensional transformations
• Computing invariant measures of piecewise convex transformations.
• Exact Dynamical Systems and the Frobenius-Perron Operator
• Markov finite approximation of Frobenius-Perron operator
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Piecewise linear markov approximations of frobenius-perron operators associated with multi-dimensional transformations
• Absolutely continuous invariant measure of a piecewise concave mapping of [0, 1]

This page was built for publication: Computing fixed densities of a class of Frobenius-Perron operators