Complex Analysis and Dynamical Systems
New Trends and Open Problems
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Beschreibung
This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.
Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves.
This volume is dedicated to the memory of Alexander Vasiliev.
This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.
Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves.
This volume is dedicated to the memory of Alexander Vasiliev.
Contains expositions of numerous open problems in such important areas as complex dynamical systems, geometric function theory and harmonic analysis Provides relevant background and historical remarks concerning these problems and their interrelationships Dedicated to the memory of Alexander Vasiliev
Autor*in
Mark Agranovsky
Themen in »Complex Analysis and Dynamical Systems«
semigroups holomorphic mappings harmonic measure boundary slits Loewner equation composition operators weighted composition operators asymptotic Toeplitz operators Harmonic measure analytic cusp conformal welding Bombieri numbers ordinary differential equations