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Call Number 515.9
Title Complex Analysis and Dynamical Systems [electronic resource] : New Trends and Open Problems / edited by Mark Agranovsky, Anatoly Golberg, Fiana Jacobzon, David Shoikhet, Lawrence Zalcman.
Material Info. VIII, 372 p. 25 illus., 14 illus. in color. online resource.
Series Trends in Mathematics, 2297-0215
Series Trends in Mathematics, 2297-0215
Summary Note 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.
Notes 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.
ISBN 9783319701547
Subject Functions of complex variables.
Subject Differential equations.
Subject Integral transforms.
Subject Operational calculus.
Subject Functional analysis.
Subject Operator theory.
Subject Functions of a Complex Variable.
Subject Several Complex Variables and Analytic Spaces.
Subject Ordinary Differential Equations.
Subject Integral Transforms, Operational Calculus.
Subject Functional analysis.
Subject Operator theory.
Added Entry Agranovsky, Mark. editor.
Added Entry Golberg, Anatoly. editor.
Added Entry Jacobzon, Fiana. editor.
Added Entry Shoikhet, David. editor.
Added Entry Zalcman, Lawrence. editor.
Added Entry SpringerLink (Online service)
Date Year, Month, Day:02002191

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