Zeta-functions for expanding maps and Anosov flows |
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Authors: | David Ruelle |
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Institution: | (1) I.H.E.S., 35, Route de Chartres, F-91440 Bures-sur-Yvette, France |
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Abstract: | Given a real-analytic expanding endomorphism of a compact manifoldM, a meromorphic zeta function is defined on the complex-valued real-analytic functions onM. A zeta function for Anosov flows is shown to be meromorphic if the flow and its stable-unstable foliations are real-analytic. |
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