Dynamical $L$-functions and homology of closed orbits
نویسندگان
چکیده
منابع مشابه
Dynamical L-functtons and Homology of Closed Orbits
Dirichlet L-function density theorem for primes in arithmetic progression i i Dynamical L-function density theorem for closed orbits in homology class In the dynamical case, however, the "ideal class group" (= the first integral homology group) might have infinite order, so that some extra phenomena will be seen. To fix our terminology, we let {,} be a smooth, transitive Anosov flow [4] on a...
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Let V be a smooth compact manifold with first Betti number b > 0 equipped with a Riemannian metric of (possibly variable) negative curvature. Such a manifold has a countable infinity of closed geodesics and it is an important problem to understand their distribution. In this paper we concentrate on the distribution with respect to homology of V . A natural dynamical generalization of this probl...
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In [18, 20], Pajitnov considers the closed orbit structure of generic gradient flows of circle-valued Morse functions. It turns out that the torsion of a chain homotopy equivalence between the Novikov complex and the completed simplicial chain complex of the universal cover detects the eta function of the flow. This eta function counts the closed orbits and reduces to the logarithm of the zeta ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1989
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1989-15702-9