English

On the distribution of zeros of a Ruelle zeta-function

Dynamical Systems 2017-07-19 v1

Abstract

We study the limit distribution of eigenvalues of a Ruelle operator (which is also called the Thurston pushforward operator) for the dynamical system zz2+cz \mapsto z^2+c when c<2c<-2 and tends to 2-2.

Keywords

Cite

@article{arxiv.1707.03441,
  title  = {On the distribution of zeros of a Ruelle zeta-function},
  author = {A. Eremenko and G. Levin and M. Sodin},
  journal= {arXiv preprint arXiv:1707.03441},
  year   = {2017}
}