Distances in spaces of physical models: partition functions versus spectra

Gunther Cornelissen, Aristides Kontogeorgis

Research output: Contribution to journalArticleAcademicpeer-review

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.
Original languageEnglish
Pages (from-to)129-144
JournalLetters in Mathematical Physics
Volume107
Issue number1
DOIs
Publication statusPublished - Jan 2017

Keywords

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

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