Dynamical Zeta functions for differentiable parabolic maps of the interval
arxiv(2024)
摘要
This paper explores the domain of meromorphic extension for the dynamical
zeta function associated to a class of one-dimensional differentiable parabolic
maps featuring an indifferent fixed point. We establish the connection between
this domain and the spectrum of the weighted transfer operators of the induced
map. Furthermore, we discuss scenarios where meromorphic extensions occur
beyond the confines of the natural disc of convergence of the dynamical zeta
function.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要