On the distribution of zeros of a Ruelle zeta-function

Abstract

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

Cited by in corpus (1)

• Positive Transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps