A Dynamical Zeta Function for Pseudo Riemannian Foliations

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...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Communications in mathematical physics 2008-05, Vol.279 (3), p.585-594
1. Verfasser:	Mümken, Bernd
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Classical and Quantum Gravitation Complex Systems Differential geometry Exact sciences and technology Geometry Manifolds and cell complexes Mathematical and Computational Physics Mathematical methods in physics Mathematical Physics Mathematics Number theory Other topics in mathematical methods in physics Physics Physics and Astronomy Quantum Physics Relativity Theory Sciences and techniques of general use Theoretical Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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.
ISSN:	0010-3616 1432-0916
DOI:	10.1007/s00220-008-0448-y