Univalent functions and integrable systems

DOI10.1007/s00220-005-1499-yzbMath1103.37045arXivnlin/0412016OpenAlexW3105238028MaRDI QIDQ852391

Alexander Vasil'ev, Dmitry Vladimirovich Prokhorov

Publication date: 29 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0412016

zbMATH Keywords

integrable systemscontact structureHamiltonian formulationLaplacian growthexpanding evolution families of simply connected domains in the complex planeLöwner subordination chains

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (14)

Evolution of smooth shapes and integrable systems ⋮ Geometry behind chordal Loewner chains ⋮ Sub-Riemannian geometry of the coefficients of univalent functions ⋮ Non-slit and singular solutions to the Löwner equation ⋮ Value Regions in Classes of Conformal Mappings ⋮ Energy characteristics of subordination chains ⋮ Sufficient conditions in the two-functional conjecture for univalent functions ⋮ Editorial. Dedication to Alexander Vasil'ev (1962--2016) ⋮ Necessary criteria for the Bombieri conjecture ⋮ Loewner theory in annulus. II: Loewner chains ⋮ Qualitative results in the Bombieri problem for conformal mappings ⋮ Conformal mappings and dispersionless Toda hierarchy ⋮ Classical and Stochastic Löwner–Kufarev Equations ⋮ In memoriam Alexander Vasil'ev (1962--2016)

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