The flat-trace asymptotics of a uniform system of contractions. (English) Zbl 0841.58052

Fried, David

Ergodic Theory Dyn. Syst. 15, No. 6, 1061-1073 (1995).

A variant of the Taylor approximation for periodic points of a system of contraction mappings is given and applied to the problem of analytic continuation of geometric zeta functions. The results are similar to D. Ruelle [Publ. Math., Inst. Hautes Etud. Sci. 72, 175-193 (1990; Zbl 0732.47003)] but the approach is somewhat simpler.

Reviewer: A.Deitmar (Heidelberg)

MSC:

37C25	Fixed points and periodic points of dynamical systems; fixed-point index theory, local dynamics
47A10	Spectrum, resolvent

Keywords:

geometric zeta functions

References:

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