Meromorphic continuation of dynamical zeta functions via transfer operators

Details Meromorphic continuation of dynamical zeta functions via transfer operators Meromorphic continuation of dynamical zeta functions via transfer operators

2007-01-03

arxiv.org/abs/math/0701097v1

Mathematics

Functional Analysis

34 pages

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

Meromorphic continuation of dynamical zeta functions via transfer operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Meromorphic continuation of dynamical zeta functions via transfer operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Meromorphic continuation of dynamical zeta functions via transfer operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-564018