Meromorphic continuation of dynamical zeta functions via transfer operators

We describe a 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. © 2007 Elsevier Inc. All rights reserved.