On the significance of absolutely continuous invariant measures

DOI10.1016/0167-2789(84)90439-1zbMath0578.60042OpenAlexW2021185265MaRDI QIDQ1066547

Boyarski, Abraham

Publication date: 1984

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90439-1

zbMATH Keywords

invariant measureergodic measurestruncation error in computations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Continuity and singularity of induced measures (60G30)

Related Items (4)

Noise and statistical periodicity ⋮ Why computers like Lebesgue measure ⋮ Stochastic perturbation of dynamical systems: The weak convergence of measures ⋮ Computer orbits

Cites Work

• Continuity of invariant measures for families of maps
• Invariant measures for Markov maps of the interval
• Randomness implies order
• Absolutely continuous measures for certain maps of an interval
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Construction of ergodic transformations
• The ergodic theory of axiom A flows
• Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1\)]
• On a Class of Transformations which have Unique Absolutely Continuous Invariant Measures
• Differentiable dynamical systems and the problem of turbulence
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• ON SMALL RANDOM PERTURBATIONS OF SOME SMOOTH DYNAMICAL SYSTEMS
• A New Approach to the Limit Theory of Recurrent Markov Chains
• GIBBS MEASURES IN ERGODIC THEORY
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