On entropy of patterns given by interval maps
Volume 162 / 1999
Fundamenta Mathematicae 162 (1999), 1-36
DOI: 10.4064/fm-162-1-1-36
Abstract
Defining the complexity of a green pattern exhibited by an interval map, we give the best bounds of the topological entropy of a pattern with a given complexity. Moreover, we show that the topological entropy attains its strict minimum on the set of patterns with fixed eccentricity m/n at a unimodal X-minimal case. Using a different method, the last result was independently proved in[11].
