Distances in spaces of physical models: partition functions versus spectra

Publication date

2017-01

Authors

Cornelissen, GuntherISNI 0000000387971274
Kontogeorgis, Aristides

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Document Type

Article
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Abstract

We study the relation between convergence of partition functions (seen as general Dirichlet series) and convergence of spectra and their multiplicities. We describe applications to convergence in physical models, e.g., related to topology change and averaging in cosmology.

Keywords

Zeta function, Partition function, Riemannian manifold, Spectrum, Convergence, Cosmological model

Citation

Cornelissen, G & Kontogeorgis, A 2017, 'Distances in spaces of physical models: partition functions versus spectra', Letters in Mathematical Physics, vol. 107, no. 1, pp. 129-144. https://doi.org/10.1007/s11005-016-0891-1