A Linear Spline Markov Approximation Method for Random Maps with Position Dependent Probabilities

DOI10.1142/S0218127420500467zbMath1445.37036OpenAlexW3014544648MaRDI QIDQ5221687

Congming Jin, Jiu Ding

Publication date: 3 April 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420500467

zbMATH Keywords

Markov operatorchaotic maprandom mapMarkov finite approximationLasota-Yorke-type inequality

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving maps of the interval (37E05) Stability theory for random and stochastic dynamical systems (37H30) Computational methods for attractors of dynamical systems (37M22) Random iteration (37H12)

Related Items (3)

Piecewise convex deterministic dynamical systems and weakly convex random dynamical systems and their invariant measures ⋮ A Cubic Spline Projection Method for Computing Stationary Densities of Dynamical Systems ⋮ The Norm Convergence of a Least Squares Approximation Method for Random Maps

Cites Work

• Unnamed Item
• Integral and nonnegativity preserving approximations of functions
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• A maximum entropy method for solving Frobenius-Perron operator equations
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Finite approximations of Markov operators
• Absolutely continuous invariant measures for random maps with position dependent probabilities
• Approximations of Frobenius-Perron operators via interpolation
• A modified piecewise linear Markov approximation of Markov operators
• MAXIMUM ENTROPY METHOD FOR POSITION DEPENDENT RANDOM MAPS
• Information Theory and Statistical Mechanics
• 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
• A convergence rate analysis for markov finite approximations to a class of Frobenius-Perron operators
• A Piecewise Linear Maximum Entropy Method for Invariant Measures of Random Maps with Position-Dependent Probabilities
• Piecewise linear markov approximations of frobenius-perron operators associated with multi-dimensional transformations
• Statistical Properties of Deterministic Systems

This page was built for publication: A Linear Spline Markov Approximation Method for Random Maps with Position Dependent Probabilities