Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy.

Josefina Casasayas; Llibre, Jaume, Nunes, Ana 2

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2A, page 467-472
  • ISSN: 0214-1493

Abstract

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The Lefschetz zeta function associated to a continuous self-map f of a compact manifold is a rational function P/Q. According to the parity of the degrees of the polynomials P and Q, we analyze when the set of periodic points of f is infinite and when the topological entropy is positive.

How to cite

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Casasayas, Josefina, and Llibre, Jaume, Nunes, Ana 2. "Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy.." Publicacions Matemàtiques 36.2A (1992): 467-472. <http://eudml.org/doc/41728>.

@article{Casasayas1992,
abstract = {The Lefschetz zeta function associated to a continuous self-map f of a compact manifold is a rational function P/Q. According to the parity of the degrees of the polynomials P and Q, we analyze when the set of periodic points of f is infinite and when the topological entropy is positive.},
author = {Casasayas, Josefina, Llibre, Jaume, Nunes, Ana 2},
journal = {Publicacions Matemàtiques},
keywords = {periodic points; topological entropy; Lefschetz zeta function},
language = {eng},
number = {2A},
pages = {467-472},
title = {Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy.},
url = {http://eudml.org/doc/41728},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Casasayas, Josefina
AU - Llibre, Jaume, Nunes, Ana 2
TI - Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 467
EP - 472
AB - The Lefschetz zeta function associated to a continuous self-map f of a compact manifold is a rational function P/Q. According to the parity of the degrees of the polynomials P and Q, we analyze when the set of periodic points of f is infinite and when the topological entropy is positive.
LA - eng
KW - periodic points; topological entropy; Lefschetz zeta function
UR - http://eudml.org/doc/41728
ER -

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