On entropy of patterns given by interval maps

Jozef Bobok

Fundamenta Mathematicae (1999)

  • Volume: 162, Issue: 1, page 1-36
  • ISSN: 0016-2736

Abstract

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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].

How to cite

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Bobok, Jozef. "On entropy of patterns given by interval maps." Fundamenta Mathematicae 162.1 (1999): 1-36. <http://eudml.org/doc/212410>.

@article{Bobok1999,
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].},
author = {Bobok, Jozef},
journal = {Fundamenta Mathematicae},
keywords = {interval map; topological entropy; cycle; pattern},
language = {eng},
number = {1},
pages = {1-36},
title = {On entropy of patterns given by interval maps},
url = {http://eudml.org/doc/212410},
volume = {162},
year = {1999},
}

TY - JOUR
AU - Bobok, Jozef
TI - On entropy of patterns given by interval maps
JO - Fundamenta Mathematicae
PY - 1999
VL - 162
IS - 1
SP - 1
EP - 36
AB - 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].
LA - eng
KW - interval map; topological entropy; cycle; pattern
UR - http://eudml.org/doc/212410
ER -

References

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