Meromorphic continuation of dynamical zeta functions via transfer operators

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dc.creatorHilgert, Joachim
dc.creatorRilke, Florian
dc.date2007-01-03
dc.date.accessioned2026-07-07T07:38:13Z
dc.date.available2026-07-07T07:38:13Z
dc.descriptionWe describe a general method to prove meromorphic continuation of dynamical zeta functions to the entire complex plane under the condition that the corresponding partition functions are given via a dynamical trace formula from a family of transfer operators. Further we give general conditions for the partition functions associated with general spin chains to be of this type and provide various families of examples for which these conditions are satisfied. Keywords: Dynamical zeta function, transfer operator, trace formulae, thermodynamic formalism, spin chain, Fock space, regularized determinants, weighted composition operator.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0701097
dc.identifierhttp://arxiv.org/abs/math/0701097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121047
dc.subjectFunctional Analysis
dc.subject46N55 (primary), 37C30 (secondary)
dc.titleMeromorphic continuation of dynamical zeta functions via transfer operators
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