INVARIANT MEASURES FOR RANDOM MAPS VIA INTERPOLATION

DOI10.1142/S0218127413500259zbMath1270.37039OpenAlexW2038413764MaRDI QIDQ2845147

Md. Shafiqul Islam

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127413500259

zbMATH Keywords

interpolationFrobenius-Perron operatorpiecewise linear approximationrandom mapsabsolutely continuous invariant measures

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) General theory of random and stochastic dynamical systems (37H05)

Related Items (1)

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Cites Work

• Why computers like Lebesgue measure
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Absolutely continuous invariant measures for random maps with position dependent probabilities
• Approximations of Frobenius-Perron operators via interpolation
• A generalization of Straube's theorem: existence of absolutely continuous invariant measures for random maps
• Ulam's method for random interval maps
• Entropy computing via integration over fractal measures
• Position dependent random maps in one and higher dimensions
• The Geometric Markov Renewal Processes with Application to Finance

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