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A Dynamical Zeta Function for Pseudo Riemannian Foliations

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Abstract

We investigate a generalization of geodesic random walks to pseudo Riemannian foliations. The main application we have in mind is to consider the logarithm of the associated zeta function as grand canonical partition function in a theory unifying aspects of general relativity, quantum mechanics and dynamical systems.

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Authors and Affiliations

  1. Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, D-48149, Münster, Germany

    Bernd Mümken

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  1. Bernd Mümken
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Correspondence to Bernd Mümken.

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Communicated by A. Connes

Partially supported by DFG, SFB 478.

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Mümken, B. A Dynamical Zeta Function for Pseudo Riemannian Foliations. Commun. Math. Phys. 279, 585–594 (2008). https://doi.org/10.1007/s00220-008-0448-y

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