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Inducing, slopes, and conjugacy classes

Roza Galeeva·Marco Martens·Charles Tresser
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Abstract

We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a smooth codimension 1 submanifold of parameter space. In particular conjugacy classes have empty interior. This is based on a study of the relation between induced Markov maps and ergodic theoretical behavior.

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Roza Galeeva, Marco Martens, Charles Tresser. 1994-03-05. Inducing, slopes, and conjugacy classes. https://arxiv.org/abs/math/9403221

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