Attainable densities for random maps

DOI10.1016/j.jmaa.2005.11.061zbMath1094.37030OpenAlexW2059006581MaRDI QIDQ820014

Góra, Paweł, Boyarski, Abraham

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.061

zbMATH Keywords

random mapsabsolutely continuous invariant mapspiecewise linear Markov mapssystem of inverse branches

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random dynamical systems (37H99)

Related Items

Cryptography based on chaotic random maps with position dependent weighting probabilities ⋮ Selections and their absolutely continuous invariant measures ⋮ Toward a mathematical holographic principle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random iteration of one-dimensional transformations
• Stationary measures for randomly chosen maps
• Random Markov mappings
• Absolutely continuous invariant measures for random maps with position dependent probabilities
• Existence of absolutely continuous invariant measures for higher-dimensional random maps
• Invariant Densities for Random Maps of the Interval
• On small stochastic perturbations of mappings of the unit interval
• Convex Combinations of Uniformly Mean Stable Markov Operators
• Entropy computing via integration over fractal measures
• Stochastic stability for piecewise expanding maps in ℝ^d
• Iterated function systems and dynamical systems
• A Matrix Solution to the Inverse Perron-Frobenius Problem