Approximations of Frobenius-Perron operators via interpolation

DOI10.1016/J.NA.2004.03.020zbMath1059.65123OpenAlexW2085441636MaRDI QIDQ1882471

Jiu Ding, Noah H. Rhee

Publication date: 1 October 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.03.020

zbMATH Keywords

interpolationconvergenceFrobenius-Perron operatorinvariant measureBanach spaceuniform boundedness theorem

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

Piecewise linear least squares approximations of Frobenius-Perron operators ⋮ Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis ⋮ A Linear Spline Markov Approximation Method for Random Maps with Position Dependent Probabilities ⋮ INVARIANT MEASURES FOR RANDOM MAPS VIA INTERPOLATION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• High order approximation of the Frobenius-Perron operator
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Finite approximations of Markov operators
• Structure preserving finite element approximations of Markov operators
• Markov finite approximation of Frobenius-Perron operator
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• On the Approximation of Complicated Dynamical Behavior
• A convergence rate analysis for markov finite approximations to a class of Frobenius-Perron operators
• The resonance spectrum of the cusp map in the space of analytic functions

This page was built for publication: Approximations of Frobenius-Perron operators via interpolation