Transboundary extremal length

DOI10.1007/BF02788827zbMath0842.30006OpenAlexW1972157609MaRDI QIDQ1909261

Oded Schramm

Publication date: 11 March 1996

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788827

zbMATH Keywords

extremal lengthcircle domainsKoebe's conjecture

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20)

Related Items (26)

Harmonic explorer and its convergence to \(\text{SLE}_4\) ⋮ Hyperbolic and parabolic packings ⋮ Removability, rigidity of circle domains and Koebe's conjecture ⋮ Intrinsic circle domains ⋮ Transboundary extremal length ⋮ Parabolic rectangle packings ⋮ On the distortion of relative circle domain isomorphisms ⋮ On continuous extension of conformal homeomorphisms of infinitely connected circle domains ⋮ Quasisymmetric embeddings of slit Sierpiński carpets ⋮ Quasiconformal geometry and removable sets for conformal mappings ⋮ Conformal uniformization of planar packings by disk packings ⋮ Rigidity and continuous extension for conformal maps of circle domains ⋮ On the Hausdorff dimension of the residual set of a packing by smooth curves ⋮ Quasisymmetric rigidity of square Sierpiński carpets ⋮ Oded Schramm: from circle packing to SLE ⋮ Uniformization of Sierpiński carpets in the plane ⋮ Uniformization of two-dimensional metric surfaces ⋮ Uniformization by square domains ⋮ LACK OF SPHERE PACKING OF GRAPHS VIA NONLINEAR POTENTIAL THEORY ⋮ Schwarz's lemma for the circle packings with the general combinatorics ⋮ Existence and uniqueness of rectilinear slit maps ⋮ Combinatorics Encoding Geometry: The Legacy of Bill Thurston in the Story of One Theorem ⋮ Rigidity theorems for circle domains ⋮ Conformal and cp types of surfaces of class $\mathcal {S}$ ⋮ Square tilings with prescribed combinatorics ⋮ Rigidity of circle domains whose boundary has \(\sigma\)-finite linear measure

Cites Work

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• Conformal mappings onto domains with arbitrarily specified boundary shapes
• Quasilines and conformal mappings
• The extremal length of a network
• Square tilings with prescribed combinatorics
• Area distortion of quasiconformal mappings
• The combinatorial Riemann mapping theorem
• Uniform, Sobolev extension and quasiconformal circle domains
• Transboundary extremal length
• Conformal uniformization and packings
• Fixed points, Koebe uniformization and circle packings
• Remarks on the Koebe Kreisnormierungsproblem
• Quasiconformal reflections
• Quasiextremal distance domains and conformal mappings onto circle domains
• Koebe Uniformization for "Almost Circle Domains"

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