**Contemporary Mathematics**

Volume: 364;
2004;
260 pp;
Softcover

MSC: Primary 30; 32; 35; 46; 47;

Print ISBN: 978-0-8218-3686-6

Product Code: CONM/364

List Price: $92.00

Individual Member Price: $73.60

**Electronic ISBN: 978-0-8218-7954-2
Product Code: CONM/364.E**

List Price: $92.00

Individual Member Price: $73.60

# Complex Analysis and Dynamical Systems

Share this page *Edited by *
*Mark Agranovsky; Lavi Karp; David Shoikhet; Lawrence Zalcman*

A co-publication of the AMS and Bar-Ilan University

This book contains contributions from the participants of an international conference on complex analysis and dynamical systems.

The papers collected here are devoted to various topics in complex analysis and dynamical systems, ranging from properties of holomorphic mappings to attractors in hyperbolic spaces. Overall, these selections provide an overview of activity in analysis at the outset of the twenty-first century. The book is suitable for graduate students and researchers in complex analysis and related problems of dynamics.

With this volume, the Israel Mathematical Conference Proceedings are now published as a subseries of the AMS Contemporary Mathematics series.

#### Table of Contents

# Table of Contents

## Complex Analysis and Dynamical Systems

- Contents v6 free
- Preface vii8 free
- Program ix10 free
- List of Participants xiii14 free
- Remarks on the "Asymptotic Maximum Principle" 116 free
- Some coefficient estimates for Hp functions 520
- A statistical model of Riemann surfaces 1530
- Holomorphic retracts in domains with the locally uniformly linearly convex Kobayashi distance 2742
- Common fixed points of holomorphic mappings and retracts of B∞H 3550
- Dynamics of spirallike functions 4156
- Invertibility preserving linear maps of Banach algebras 5974
- The dynamical zeta function and transfer operators for the Kac-Baker model 6782
- On operator matrices generating linear fractional maps of operator balls 93108
- Long-time asymptotics with geometric singularities in the spatial variables 103118
- Grunsky inequalities of higher rank with applications to complex geometry and function theory 127142
- Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole, and relative capacity 155170
- Singular continuous spectrum for certain quasicrystal Schrödinger operators 169184
- Measures orthogonal to the gradients of harmonic functions 181196
- Q-homeomorphisms 193208
- Dynamic methods in the general theory of Cauchy type functional equations 205220
- Exponential estimates for eigenfunctions of Schrödinger operators with rapidly increasing and discontinuous potentials 225240
- A porosity result for attracting mappings in hyperbolic spaces 237252
- Some properties of the quaternionic Cauchy-type integral for a piece-wise Liapunov surface of integration 243258

#### Readership

Graduate students and research mathematicians interested in complex analysis and related problems of dynamics.