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arXiv · 1505.07211

Typical points and families of expanding interval mappings

Tomas Persson
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Abstract

We study parametrised families of piecewise expanding interval mappings $T_a \colon [0,1] \to [0,1]$ with absolutely continuous invariant measures $\mu_a$ and give sufficient conditions for a point $X(a)$ to be typical with respect to $(T_a, \mu_a)$ for almost all parameters $a$. This is similar to a result by D. Schnellmann, but with different assumptions.

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Tomas Persson. 2015-05-27. Typical points and families of expanding interval mappings. https://arxiv.org/abs/1505.07211

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