The Norm Convergence of a Least Squares Approximation Method for Random Maps

DOI10.1142/S0218127421500681zbMath1469.37040OpenAlexW3159238233MaRDI QIDQ4990648

Jiu Ding, Congming Jin, Raymond Manna Bangura

Publication date: 31 May 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421500681

zbMATH Keywords

absolutely continuous invariant measureFrobenius-Perron operatorleast squaresstationary densityFoias operatorrandom map

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random iteration (37H12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cryptography based on chaotic random maps with position dependent weighting probabilities
• Piecewise linear least squares approximations of Frobenius-Perron operators
• On the norm convergence of a piecewise linear least squares method for Frobenius-Perron operators
• Deterministic representation for position dependent random maps
• Random iteration of one-dimensional transformations
• Cell division and the stability of cellular populations
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Dimension of measures invariant with respect to the Ważewska partial differential equation.
• Absolutely continuous invariant measures for random maps with position dependent probabilities
• Transcriptional stochasticity in gene expression
• On stability of some general random dynamical system
• MAXIMUM ENTROPY METHOD FOR POSITION DEPENDENT RANDOM MAPS
• Invariant Densities for Random Maps of the Interval
• 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
• Deterministic Nonperiodic Flow
• A Linear Spline Markov Approximation Method for Random Maps with Position Dependent Probabilities
• Statistical Properties of Deterministic Systems

This page was built for publication: The Norm Convergence of a Least Squares Approximation Method for Random Maps