Institute for Mathematical Sciences

Preprint ims94-4

Roza Galeeva,Marco Martens, & Charles Tresser
Inducing, Slopes, and Conjugacy Classes

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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