Advertisement

Periodic Orbits of Self-Similar Flows

  • Michel L. Lapidus
  • Machiel van Frankenhuijsen
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter, we apply our explicit formulas to obtain an asymptotic expansion for the prime orbit counting function of suspended flows. The resulting formula involves a sum of oscillatory terms associated with the dynamical complex dimensions of the flow.

Keywords

Periodic Orbit Zeta Function Complex Dimension Counting Function Logarithmic Derivative 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Michel L. Lapidus
    • 1
  • Machiel van Frankenhuijsen
    • 2
  1. 1.Department of MathematicsUniversity of California, RiversideRiversideUSA
  2. 2.Department of MathematicsUtah Valley UniversityOremUSA

Personalised recommendations