On the Absolutely Continuous Invariant Measures for Random Maps

DOI10.1142/S0218127422500304zbMath1493.37067OpenAlexW4221022926MaRDI QIDQ5064627

Eyad Alfarajat, Góra, Paweł

Publication date: 16 March 2022

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

Full work available at URL: https://doi.org/10.1142/s0218127422500304

zbMATH Keywords

chaosabsolutely continuous invariant measureFrobenius-Perron operatorrandom map

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Random iteration (37H12)

Cites Work

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• Almost every real quadratic map is either regular or stochastic.
• Representations for real numbers and their ergodic properties
• Invariant Densities for Random Maps of the Interval
• Invariant densities for piecewise linear maps of the unit interval
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• A Matrix Solution to the Inverse Perron-Frobenius Problem

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