Beschreibung
The goal of this book is to study the ergodic theory of holomorphic random dynamical systems on the Riemann sphere. Specifically, the main results are two generalizations of a theorem of Denker and Urbanski ('91) concerning existence and uniqueness of equilibrium states of rational functions with respect to Hölder continuous potential functions satisfying a "pressure gap" condition. The main results also generalize a theorem of Jonsson ('00).
Autorenporträt
David Simmons got his Ph.D. in mathematics from the University of North Texas in 2012 under the supervision of Dr. Mariusz Urbanski. His research interests include dynamical systems and Diophantine approximation. He is currently an assistant professor at Ohio State University.
Herstellerkennzeichnung:
BoD - Books on Demand
In de Tarpen 42
22848 Norderstedt
DE
E-Mail: info@bod.de
