Random Iteration of Rational Functions » książka
Random Iteration of Rational Functions
ISBN-13: 9783659510649 / Angielski / Miękka / 2014 / 108 str.
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 Urba ski ('91) concerning existence and uniqueness of equilibrium states of rational functions with respect to Holder continuous potential functions satisfying a "pressure gap" condition. The main results also generalize a theorem of Jonsson ('00)."
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 Urbański (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).
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