Results 291 to 300 of about 3,606,471 (322)

Transboundary extremal length [PDF]

Journal d'Analyse Mathématique, 1995
We introduce two basic notions, ‘transboundary extremal length’ and ‘fat sets’, and apply these concepts to the theory of conformal uniformization of multiply connected planar domains. A new short proof is given to Koebe's conjecture in the countable case: every planar domain with countably many boundary components is conformally equivalent to a circle
O. Schramm
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An extremal length on a torus

Journal d'Analyse Mathématique, 1967
L. Keen
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Modules and Extremal Lengths [PDF]

, 1958
One of the most important applications of the method of the extremal metric is in the definition of conformal invariants. These considerations may be carried out on the most general Riemann surface.
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Null-sets for the extremal lengths

Journal of Mathematical Sciences, 2011
In this paper, a description of the null-sets for the generalized Aikawa–Ohtsuka condenser module is obtained under the assumption that the module has the continuity property. Bibliography: 11 titles.
F. I. Ivanov, V. A. Shlyk
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Extremal length and univalent functions

Mathematische Zeitschrift, 1977
B. Rodin, S. Warschawski
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Extremal length geometry of teichmüller space

, 1991
Assume τ is a point in the Teichmuller space of a Riemann surface which is compact or obtainable from a compact surface by deleting a finite number of punctures.
F. Gardiner, H. Masur
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Capacity, Stability, and Extremal Length

1968
We begin by considering a harmonic function whose boundary behavior is a combination of L0- and L1-type behavior. This leads to a generalization of harmonic measure and capacity. In §2 we relate this function to some extremal length problems. The remaining sections treat applications to conformal mapping and stability problems.
Leo Sario, Burton Rodin
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On Extreme Length Flight Paths

SIAM Review, 1976
In this note we extend the following problem proposed by M. F. Gardner [1]: "A swimmer can swim with speed v in still water. He is required to swim for a given length of time T in a stream whose speed is w < v. If he is also required to start and finish at the same point, what is the longest path (total arc length) that he can complete? Assume the path
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Extremal length and width of blocking polyhera, Kirchhoff spaces and multiport networks

, 1987
Various facts about the extremal length (EL) and extremal width (EW) of a one-port network on a Kirchhoff space due to Anderson, Duffin and Trapp and their relation to blocking pairs of polyhedra are unified and extended to the multiport case.
S. Chaiken
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Extremal length geometry

, 2014
Hideki Miyachi
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