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Results tagged with ergodic-theory
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user 15334
Dynamical systems on measure spaces, invariant measures, ergodic averages, mixing properties.
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Absolutely Continuous Invariant Measures for Piecewise Convex Maps
If $f$ is piecewise $C^2$, since your map is piecewise expanding it has an ACIM. See Lasota and York (Trans AMS, 1973).
See also the Chaos, Fractals, and Noise by A. Lasota and M. Mackey. One of the …
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