Inducing, slopes, and conjugacy classes

Roza Galeeva; Marco Martens; Charles Tresser

doi:10.1007/BF02760679

Inducing, slopes, and conjugacy classes

Roza Galeeva
, Marco Martens
, Charles Tresser

Mathematics

Northwestern University
IBM

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a 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.

Original language	English
Pages (from-to)	123-147
Number of pages	25
Journal	Israel Journal of Mathematics
Volume	99
DOIs	https://doi.org/10.1007/BF02760679
State	Published - 1997

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title = "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 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.",

author = "Roza Galeeva and Marco Martens and Charles Tresser",

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journal = "Israel Journal of Mathematics",

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T1 - Inducing, slopes, and conjugacy classes

AU - Galeeva, Roza

AU - Martens, Marco

AU - Tresser, Charles

PY - 1997

Y1 - 1997

N2 - We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a 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.

AB - We show that the conjugacy class of an eventually expanding continuous piecewise affine interval map is contained in a 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.

UR - https://www.scopus.com/pages/publications/0009318001

U2 - 10.1007/BF02760679

DO - 10.1007/BF02760679

M3 - Article

AN - SCOPUS:0009318001

SN - 0021-2172

VL - 99

SP - 123

EP - 147

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Inducing, slopes, and conjugacy classes

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