Fred Shultz
Published 2004-05-24, updated 2005-10-14Version 2
Any continuous, transitive, piecewise monotonic map is determined up to a binary choice by its dimension module with the associated finite sequence of generators. The dimension module by itself determines the topological entropy of any transitive piecewise monotonic map, and determines any transitive unimodal map up to conjugacy. For a transitive piecewise monotonic map which is not essentially injective, the associated dimension group is a direct sum of simple dimension groups, each with a unique state.
Comments: 32 pages, 1 postscript (eps) figure, LateX. minor changes. Has been accepted for publication in Ergodic Theory and Dynamical Systems
Statistical properties of interval maps with critical points and discontinuities
Interval maps where every point is eventually fixed
Simultaneous Action of Finitely Many Interval Maps: Some Dynamical and Statistical Properties
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