On entropy of patterns given by interval maps

• Autorzy: Jozef Bobok
• Języki publikacji: EN

Abstrakty

EN

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].

Słowa kluczowe

EN

interval map; topological entropy; cycle; pattern

Kategorie tematyczne

• 54H20: Topological dynamics
• 26A18: Iteration

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 162
• Numer: 1
• Strony: 1-36

Daty

wydano

1999

otrzymano

1996-05-16

poprawiono

1997-10-27

poprawiono

1998-10-20

poprawiono

1999-03-13

Twórcy

autor

Jozef Bobok

• KM FSv ČVUT, Thákurova 7, 166 29 Praha 6, Czech Republic

Bibliografia

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