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

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