Geodesic
On entropy of patterns given by interval maps
Jozef Bobok1
1 KM FSv ČVUT, Thákurova 7, 166 29 Praha 6, Czech Republic
Fundamenta Mathematicae, Tome 162 (1999) no. 1, pp. 1-36

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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].
DOI : 10.4064/fm-162-1-1-36
Keywords: interval map, topological entropy, cycle, pattern

Jozef Bobok 1

1 KM FSv ČVUT, Thákurova 7, 166 29 Praha 6, Czech Republic 
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Jozef Bobok. On entropy of patterns given by interval maps. Fundamenta Mathematicae, Tome 162 (1999) no. 1, pp. 1-36. doi: 10.4064/fm-162-1-1-36

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