A fixed point theorem and its application in ergodic theory

DOI10.2748/tmj/1178229541zbMath0462.47041OpenAlexW2021591137MaRDI QIDQ1153337

Andrzej Lasota

Publication date: 1980

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229541

zbMATH Keywords

invariant measuressuccessive approximationsaffine transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Fixed-point theorems (47H10)

We Found 4 Related Items (max. 100)

Nonzero fixed points of power-bounded linear operators ⋮ Exact Dynamical Systems and the Frobenius-Perron Operator ⋮ A central limit theorem for piecewise convex mappings of the unit interval ⋮ Asymptotic periodicity of the iterates of weakly constrictive Markov operators

Cites Work

• Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
• Representations for real numbers and their ergodic properties
• On the existence of invariant measures for piecewise convex transformations
• On invariant measures for expanding differentiable mappings
• On the existence of invariant measures for Markov processes
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