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arXiv:1505.07211 [math.DS]AbstractReferencesReviewsResources

Typical points and families of expanding interval mappings

Tomas Persson

Published 2015-05-27Version 1

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 for $(T_a, \mu_a)$ for almost all parameters $a$. This is similar to a result by D.\ Schnellmann, but with different assumptions.

Comments: 15 pages, 2 figures
Categories: math.DS
Subjects: 37E05, 37A05, 37D20
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