Advanced Search
Article Contents
Article Contents

Ruelle operator and transcendental entire maps

Abstract Related Papers Cited by
  • We calculate the Ruelle operator of a transcendental entire function $f$ having only a finite set of algebraic singularities. Moreover, under certain topological conditions on the postcritical set we prove (i) if $f$ has a summable critical point, then $f$ is not structurally stable and (ii) if all critical points of $f$ belonging to Julia set are summable, then there do not exist invariant lines fields on the Julia set.
    Mathematics Subject Classification: 37F10, 37F45.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(51) Cited by(0)

Access History



    DownLoad:  Full-Size Img  PowerPoint