Abstract
If (X, A, μ) is a measure space, we say that a measurable map T: X → X is measure-preserving, and that μ is invariant under T, if for every A ∈ A we have μ(A)= μ(T−1(A)). The dynamic behavior of measure-preserving maps is the theme of ergodic theory.
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© 1987 Springer-Verlag Berlin Heidelberg
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Mañé, R. (1987). Measure-Preserving Maps. In: Ergodic Theory and Differentiable Dynamics. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70335-5_2
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DOI: https://doi.org/10.1007/978-3-642-70335-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-70337-9
Online ISBN: 978-3-642-70335-5
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