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

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