When interpreting the Frobenius morphisms that appear in the Artin L-functions geometrically as flows (as discussed at Borger’s arithmetic geometry – Motivation) then this induces an evident analog of zeta function of a dynamical system.
The archetypal example is the Ruelle zeta function.
Lecture notes include
Mark Pollicott, Dynamical zeta functions (pdf)
Dynamical zeta functions (pdf)
Jeffrey Lagarias, Number theory zeta functions and Dynamical zeta functions (pdf)
Last revised on June 26, 2015 at 13:00:14. See the history of this page for a list of all contributions to it.