Inducing, slopes, and conjugacy classes

Details Inducing, slopes, and conjugacy classes Inducing, slopes, and conjugacy classes

1994-03-05

arxiv.org/abs/math/9403221v1

Mathematics

Dynamical Systems

Scientific paper

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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