nLab
zeta function of a dynamical system

Contents

Idea

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.

Definition

References

Lecture notes include

Last revised on June 26, 2015 at 13:00:14. See the history of this page for a list of all contributions to it.