Complex Analysis and Dynamical Systems

New Trends and Open Problems

  • Mark Agranovsky
  • Anatoly Golberg
  • Fiana Jacobzon
  • David Shoikhet
  • Lawrence Zalcman

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Vladimir Bolotnikov
    Pages 39-65
  3. Mark Elin, David Shoikhet, Toshiyuki Sugawa
    Pages 93-102
  4. Anastasia Frolova, Dmitry Khavinson, Alexander Vasil’ev
    Pages 103-128
  5. Anatoly Golberg, Ruslan Salimov
    Pages 129-140
  6. Eric Schippers, Wolfgang Staubach
    Pages 231-271
  7. Alexey Tochin, Alexander Vasil’ev
    Pages 301-366
  8. Nikola Tuneski, Mamoru Nunokawa, Biljana Jolevska-Tuneska
    Pages 367-372

About this book


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.


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

Editors and affiliations

  • Mark Agranovsky
    • 1
  • Anatoly Golberg
    • 2
  • Fiana Jacobzon
    • 3
  • David Shoikhet
    • 4
  • Lawrence Zalcman
    • 5
  1. 1.Department of MathematicsBar-Ilan UniversityRamat-GanIsrael
  2. 2.Department of MathematicsHolon Institute of TechnologyHolonIsrael
  3. 3.Department of MathematicsORT Braude CollegeKarmielIsrael
  4. 4.Department of MathematicsHolon Institute of TechnologyHolonIsrael
  5. 5.Department of MathematicsBar-Ilan UniversityRamat-GanIsrael

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-70153-0
  • Online ISBN 978-3-319-70154-7
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site