Balázs Bárány (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
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We investigate properties of the zero of the subadditive pressure which is a most important tool to estimate the Hausdorff dimension of the attractor of a non-conformal iterated function system (IFS). Our result is a generalization of the main results of Miao and Falconer [Fractals 15 (2007)] and Manning and Simon [Nonlinearity 20 (2007)].
Kesel'man, V.M. (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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Barreira, Luis, Schmeling, Jörg (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Guoen Hu (2003)
Publicacions Matemàtiques
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Some boundedness results are established for sublinear operators on the homogeneous Herz spaces. As applications, some new theorems about the boundedness on homogeneous Herz spaces for commutators of singular integral operators are obtained.
Manfred Denker, R. Mauldin, Z. Nitecki, Mariusz Urbański (1998)
Fundamenta Mathematicae
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We show that the set of conical points of a rational function of the Riemann sphere supports at most one conformal measure. We then study the problem of existence of such measures and their ergodic properties by constructing Markov partitions on increasing subsets of sets of conical points and by applying ideas of the thermodynamic formalism.
Kuznetsov, Alexander (2004)
Lobachevskii Journal of Mathematics
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Margulescu, George (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Hiroshi Haruki (1977)
Annales Polonici Mathematici
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Fritz Rothberger (1967)
Colloquium Mathematicae
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Branson, Thomas
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The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.
Franz Hofbauer (1992)
Studia Mathematica
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Let A be a topologically transitive invariant subset of an expanding piecewise monotonic map on [0,1] with the Darboux property. We investigate existence and uniqueness of conformal measures on A and relate Hausdorff and conformal measures on A to each other.
Klaus Menke (1985)
Annales Polonici Mathematici
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Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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Michael Eastwood (2014)
Archivum Mathematicum
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The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.