Inducing, slopes, and conjugacy classes
classification
🧮 math.DS
keywords
conjugacyclassesaffinebehaviorclasscodimensioncontainedcontinuous
read the original 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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