4 citations · 5 across the 2 of their papers we have counts for
4 papers
Poincare Series and instability of exponential maps
Peter Makienko, Guillermo Sienra
We relate the properties of the postsingular set for the exponential family to the questions of stability. We calculate the action of the Ruelle operator for the exponential family…
Non-persistently recurrent points, qc-surgery and instability of rational maps with totally disconnected Julia sets
Peter Makienko
Let be a rational map with totally disconnected Julia set If the postcritical set on contains a non-persistently recurrent (or conical) point, then we show…
Remarks on Ruelle Operator and invariant line fields problem II
Peter M. Makienko
Let R be rational map. Critical point c is called summable if series is absolutely convergent. Under some topological condition on postcritical set w…
Remarks on Ruelle operator and Invariant Line Field Problem
Peter M. Makienko
In case of Lebesgue measure zero of postcritical set the necessary and sufficient conditions (in terms of convergence of sequences of measures) of existence of invariant conformal…