Fr. 168.00

Complex Analysis and Dynamical Systems - New Trends and Open Problems

Englisch, Deutsch · Fester Einband

Versand in der Regel in 2 bis 3 Wochen (Titel wird auf Bestellung gedruckt)

Beschreibung

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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.

Inhaltsverzeichnis

On polynomially integrable domains in Euclidean spaces.- A survey on the maximal number of solutions of equations related to gravitational lensing.- Boundary interpolation by finite Blaschke products.- Support points and the Bieberbach conjecture in higher dimension.- Some unsolved problems about condenser capacities on the plane.- Filtration of semi-complete vector fields revisited.- Polynomial lemniscates and their fingerprints: from geometry to topology.- Regularity of mappings with integrally restricted moduli.- Extremal problems for mappings with $g$-parametric representation on the unit polydisc in $C^n$.- Evolution of states of a continuum jump model with attraction.- Problems on weighted and unweighted composition operators.- Harmonic measures of slit sides, conformal welding and extremal problems.- Comparison moduli spaces of Riemann surfaces.- Asymptotic ratio of harmonic measures of sides of a boundary slit.- Coupling of Gaussian free field with general slit SLE.- A Marx-Strohhacker type result for close-to-convex functions.

Zusammenfassung

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.

Produktdetails

Mitarbeit Mark Agranovsky (Herausgeber), Anatol Golberg (Herausgeber), Anatoly Golberg (Herausgeber), Fiana Jacobzon (Herausgeber), Fiana Jacobzon et al (Herausgeber), David Shoikhet (Herausgeber), Lawrence Zalcman (Herausgeber)
Verlag Springer, Berlin
 
Sprache Englisch, Deutsch
Produktform Fester Einband
Erschienen 31.03.2018
 
EAN 9783319701530
ISBN 978-3-31-970153-0
Seiten 372
Abmessung 162 mm x 243 mm x 26 mm
Gewicht 728 g
Illustration VIII, 372 p. 25 illus., 14 illus. in color.
Serien Trends in Mathematics
Trends in Mathematics
Thema Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis

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