Complex Analysis and Dynamical Systems New Trends and Open Problems

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 increa...

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Bibliographic Details
Other Authors: Agranovsky, Mark (Editor), Golberg, Anatoly (Editor), Jacobzon, Fiana (Editor), Shoikhet, David (Editor)
Format: eBook
Language:English
Published: Cham Birkhäuser 2018, 2018
Edition:1st ed. 2018
Series:Trends in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Agranovsky, Mark  |e [editor] 
245 0 0 |a Complex Analysis and Dynamical Systems  |h Elektronische Ressource  |b New Trends and Open Problems  |c edited by Mark Agranovsky, Anatoly Golberg, Fiana Jacobzon, David Shoikhet, Lawrence Zalcman 
250 |a 1st ed. 2018 
260 |a Cham  |b Birkhäuser  |c 2018, 2018 
300 |a VIII, 372 p. 25 illus., 14 illus. in color  |b online resource 
505 0 |a 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 
653 |a Several Complex Variables and Analytic Spaces 
653 |a Functional analysis 
653 |a Functions of complex variables 
653 |a Mathematical analysis 
653 |a Functional Analysis 
653 |a Integral Transforms and Operational Calculus 
653 |a Functions of a Complex Variable 
653 |a Operator theory 
653 |a Operator Theory 
653 |a Differential Equations 
653 |a Differential equations 
700 1 |a Golberg, Anatoly  |e [editor] 
700 1 |a Jacobzon, Fiana  |e [editor] 
700 1 |a Shoikhet, David  |e [editor] 
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490 0 |a Trends in Mathematics 
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082 0 |a 515.9 
520 |a 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