Continuity of invariant measures for families of maps

DOI10.1016/0196-8858(85)90006-5zbMath0567.28008OpenAlexW2012627268MaRDI QIDQ1059729

Boyarski, Abraham

Publication date: 1985

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(85)90006-5

zbMATH Keywords

stochastic approximationabsolutely continuous invariant measureMarkov processdifference equationlimiting behaviour of orbits

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Measure-preserving transformations (28D05) Stochastic processes (60G99)

Related Items (1)

On the significance of absolutely continuous invariant measures

Cites Work

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• Sensitive dependence to initial conditions for one dimensional maps
• Randomness implies order
• The qualitative analysis of a difference equation of population growth
• Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1\)]
• Weak Continuity of Invariant Measures for a Class of Piecewise Monotonic Transformations
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Period Three Implies Chaos
• Ergodic Transformations from an Interval Into Itself
• Stable Orbits and Bifurcation of Maps of the Interval

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