动态zeta函数通过转移算子的亚纯延拓
Meromorphic continuation of dynamical zeta functions via transfer operators
摘要：
给出了一种证明动力zeta函数在整个复平面上亚纯延拓的一般方法，条件是相应的分拆函数由一族转移算子的动力迹公式给出.此外，我们给出了与一般自旋链相关的分拆函数是这种类型的一般条件，并提供了满足这些条件的各种例子。保留字：动力学zeta函数，转移算子，迹公式，热力学形式，自旋链，Fock空间，正则化行列式，加权复合算子。
英文摘要：
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.
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