Year: 2016
Type: article
Abstract: We consider parameters $$\lambda $$ for which 0 is preperiodic under the map $$z\mapsto \lambda e^z$$ . Given k and l, let n(r) be the number of $$\lambda $$ satisfying $$0<|\lambda |\le r$$ such that 0 is mapped after k iterations to a periodic point of period l. We determine the asymptotic behavior of n(r) as r tends to $$\infty $$ .
Source: Arnold Mathematical Journal
Author: Walter Bergweiler
Institution: Christian-Albrechts-Universität zu Kiel
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Alexander von Humboldt-Stiftung
OpenAlex ID: W2281630661