Stability and approximation of invariant measures for a class of nonexpanding transformations

DOI10.1016/0362-546X(94)90196-1zbMath0822.28009OpenAlexW1999247567MaRDI QIDQ4326125

Walter M. Miller

Publication date: 14 March 1995

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

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90196-1

zbMATH Keywords

Frobenius-Perron operatorUlam's conjecturepiecewise convex interval mapstability of the unique invariant densityUlam's approximation scheme

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Low-dimensional dynamical systems (37E99)

Related Items

Absolutely continuous invariant measure of a piecewise concave mapping of [0, 1] ⋮ Unnamed Item ⋮ 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 ⋮ Estimating invariant measures and Lyapunov exponents ⋮ 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

• Stochastic stability in some chaotic dynamical systems
• On the approximation of invariant measures
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Compactness of Invariant Densities for Families of Expanding, Piecewise Monotonic Transformations
• Exact Dynamical Systems and the Frobenius-Perron Operator
• Matrix Analysis
• Probabilistic Properties of Deterministic Systems
• Markov finite approximation of Frobenius-Perron operator
• Error estimates of the Markov finite approximation of the Frobenius-Perron operator
• Ergodic theory of chaos and strange attractors
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item