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  • © 2018

Complex Analysis and Dynamical Systems

New Trends and Open Problems

Birkhäuser
  • 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

Part of the book series: Trends in Mathematics (TM)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-viii
  2. Boundary Interpolation by Finite Blaschke Products

    • Vladimir Bolotnikov
    Pages 39-65
  3. Filtration of Semi-complete Vector Fields Revisited

    • Mark Elin, David Shoikhet, Toshiyuki Sugawa
    Pages 93-102
  4. Polynomial Lemniscates and Their Fingerprints: From Geometry to Topology

    • Anastasia Frolova, Dmitry Khavinson, Alexander Vasil’ev
    Pages 103-128
  5. Regularity of Mappings with Integrally Restricted Moduli

    • Anatoly Golberg, Ruslan Salimov
    Pages 129-140
  6. Comparison Moduli Spaces of Riemann Surfaces

    • Eric Schippers, Wolfgang Staubach
    Pages 231-271
  7. Coupling of Gaussian Free Field with General Slit SLE

    • Alexey Tochin, Alexander Vasil’ev
    Pages 301-366
  8. A Marx-Strohhacker Type Result for Close-to-Convex Functions

    • 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.

Editors and Affiliations

  • Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

    Mark Agranovsky, Lawrence Zalcman

  • Department of Mathematics, Holon Institute of Technology, Holon, Israel

    Anatoly Golberg, David Shoikhet

  • Department of Mathematics, ORT Braude College, Karmiel, Israel

    Fiana Jacobzon

Bibliographic Information

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access