Constant Slope Maps and the Vere-Jones Classification

Constant Slope Maps and the Vere-Jones Classification

We study continuous countably-piecewise monotone interval maps and formulate conditions under which these are conjugate to maps of constant slope, particularly when this slope is given by the topological entropy of the map. We confine our investigation to the Markov case and phrase our conditions in...

Full description

Bibliographic Details
Main Authors: Jozef Bobok, Henk Bruin
Format: Article
Language:English
Published: MDPI AG 2016-06-01
Series:Entropy
Subjects:
interval map
topological entropy
conjugacy
constant slope
Online Access:http://www.mdpi.com/1099-4300/18/6/234
Description
Summary:We study continuous countably-piecewise monotone interval maps and formulate conditions under which these are conjugate to maps of constant slope, particularly when this slope is given by the topological entropy of the map. We confine our investigation to the Markov case and phrase our conditions in the terminology of the Vere-Jones classification of infinite matrices.
ISSN:1099-4300

Similar Items