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

Josefina Casasayas; Llibre, Jaume, Nunes, Ana 2 — 1992

Publicacions Matemàtiques

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.

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