The "Prime Number Theorem" for the Periodic Orbits of a Bernoulli Flow

DOI10.2307/2322474zbMATH Open0645.28013OpenAlexW2002430424MaRDI QIDQ3788246

Steven P. Lalley

Publication date: 1988

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2322474

zbMATH Keywords

periodic orbitsprime number theoremperiodic pointstopological entropyBernoulli flow

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Dynamics induced by flows and semiflows (37C10) Zeta and (L)-functions: analytic theory (11M99) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (2)

On the spectral theory and dynamics of asymptotically hyperbolic manifolds ⋮ An analogue of the prime number theorem for closed orbits of Axiom A flows

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