A Cantor regular set which does not have Markov's property
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A new setting for potential theory. I
Kai Lai Chung, K. Murali Rao (1980)
Annales de l'institut Fourier
We consider a transient Hunt process in which the potential density satisfies the conditions: (a) for each , is finite continuous in ; (b) iff . In earlier papers Chung established an equilibrium principle, and Rao obtained a Riesz of decomposition for excessive functions. We now begin a deeper study under these conditions, including the uniqueness of the decomposition and Hunt’s hypothesis (B).
A note on the local structure of levels of a plane vector field
Ilja Černý (1981)
Časopis pro pěstování matematiky
A remark on polygonal quasiconformal maps.
Krushkal, S.L. (2001)
Georgian Mathematical Journal
A symmetrization inequality for plurisubharmonic functions.
T.J. Ransford (1993)
Mathematische Annalen
A Unified Theory of Harmonic Measures and Capacitary Potentials.
Heinz Leutwiler, Maynard Arsove (1983)
Mathematische Zeitschrift
An estimate from below for the Markov constant of a Cantor repeller
Alexander Volberg (1995)
Banach Center Publications
An extremal problem for certain subharmonic functions in the plane.
Albert Baernstein II (1988)
Revista Matemática Iberoamericana
An extremal problem for harmonic measure.
Friedrich Huckemann (1977)
Commentarii mathematici Helvetici
Analytic approach to semiclassical logarithmic potential theory
T. Bojdecki (1970)
Studia Mathematica
Analytic capacity and linear measure
Jaroslav Fuka, Josef Král (1978)
Czechoslovak Mathematical Journal
Beiträge zum potentialtheoretischen Aspekt des Verheftungssatzes von A.D. Alexandrow.
Heinz Leutwiler (1970)
Commentarii mathematici Helvetici
Boundary limits of Green's potentials along curves
Jang-Mei Wu (1977)
Studia Mathematica
Bounds for capacities in terms of asymmetry.
Tilak Bhattacharya, Allen Weitsman (1996)
Revista Matemática Iberoamericana
Caloric measure on domains bounded by Weierstrass-type graphs.
Bousch, Thierry, Heurteaux, Yanick (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
Capacité analytique et le problème de Painlevé
Hervé Pajot (2003/2004)
Séminaire Bourbaki
Le problème de Painlevé consiste à trouver une caractérisation géométrique des sous-ensembles du plan complexe qui sont effaçables pour les fonctions holomorphes bornées. Ce problème d’analyse complexe a connu ces dernières années des avancées étonnantes, essentiellement grâce au dévelopement de techniques fines d’analyse réelle et de théorie de la mesure géométrique. Dans cet exposé, nous allons présenter et discuter une solution proposée par X. Tolsa en termes de courbure de Menger au problème...
Computing logarithmic capacity with linear programming.
Rostand, Jérémie (1997)
Experimental Mathematics
Correction of some misprints in my paper “Potentials and boundary value problems” published in “Wissenschaftliche Schriftenreihe der T. H. Karl-Marx-Stadt”
Josef Král (1976)
Commentationes Mathematicae Universitatis Carolinae
Covering Theorems for Univalent Functions.
D.H. Hamilton (1986)
Mathematische Zeitschrift
Dimension of the harmonic measure of non-homogeneous Cantor sets
Athanasios Batakis (2006)
Annales de l’institut Fourier
We prove that the dimension of the harmonic measure of the complementary of a translation-invariant type of Cantor sets is a continuous function of the parameters determining these sets. This results extends a previous one of the author and do not use ergotic theoretic tools, not applicables to our case.
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