MAXIMUM ENTROPY METHOD FOR POSITION DEPENDENT RANDOM MAPS

DOI10.1142/S0218127411029458zbMath1248.37043OpenAlexW1999395356MaRDI QIDQ3165800

Md. Shafiqul Islam

Publication date: 19 October 2012

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

Full work available at URL: https://doi.org/10.1142/s0218127411029458

zbMATH Keywords

invariant measuresFrobenius-Perron operatordensity functionsmaximum entropy methodposition dependent random maps

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems involving maps of the interval (37E05) General theory of random and stochastic dynamical systems (37H05) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (6)

Unnamed Item ⋮ A Piecewise Linear Maximum Entropy Method for Invariant Measures of Random Maps with Position-Dependent Probabilities ⋮ Piecewise convex deterministic dynamical systems and weakly convex random dynamical systems and their invariant measures ⋮ Approximating solutions of Fredholm integral equations via a general spline maximum entropy method ⋮ A Linear Spline Markov Approximation Method for Random Maps with Position Dependent Probabilities ⋮ The Norm Convergence of a Least Squares Approximation Method for Random Maps

Cites Work

• The maximum entropy method applied to stationary density computation
• Why computers like Lebesgue measure
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• A maximum entropy method for solving Frobenius-Perron operator equations
• Absolutely continuous invariant measures for random maps with position dependent probabilities
• Information Theory and Statistical Mechanics
• Markov finite approximation of Frobenius-Perron operator
• Convergence of Best Entropy Estimates
• Ulam's method for random interval maps
• Entropy computing via integration over fractal measures

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