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Titlebook: Geometry and Analysis of Fractals; Hong Kong, December De-Jun Feng,Ka-Sing Lau Conference proceedings 2014 Springer-Verlag Berlin Heidelbe

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978-3-662-51376-7Springer-Verlag Berlin Heidelberg 2014
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Hans-Rudolf Behrendt,Helmut Junghanshe Chinese Hong-Kong University. It gathers recent advances in Mandelbrot cascades theory and related topics, namely branching random walks, directed polymers on disordered trees, multifractal analysis, and dynamical systems.
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Starten des CP/M-Betriebssystems,how that the law of pure types holds for spectral measures, i.e. if . is a frame for ., then . is discrete or absolutely continuous or singular continuous with respect to Lebesgue measure (see [.]). And we discuss the spectral properties of Cantor measures (see [.]), where we focus on some exotic pr
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Grundlage des MS-DOS-Betriebssystems, dynamics on . is determined by the one-sided shift in ., and by a given transition-operator .. Our results apply to any positive operator . in . such that .. From this we obtain induced measures . on ., and we study spectral theory in the associated .. For the second class of dynamics, we introduce
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https://doi.org/10.1007/978-3-0348-4145-0on a self-similar set being quasisymmetric to each other. As an application, we construct metrics on the Sierpinski carpet which is quasisymmetric with respect to the Euclidean metrics and obtain an upper estimate of the conformal dimension of the Sierpinski carpet.
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Die quantenmechanische Atomtheorie, goal is to present stronger versions of the classical Marstrand theorem, valid for almost every realization of fractal percolation. The extensions go in three directions:.. the statements work for all directions, not almost all,.. the statements are true for more general projections, for example ra
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Atome, Ionen, Elektronen, Atomkerne,ns of self-affine sets. De-Jun Feng and the author recently solved a folklore open problem, by proving that the affinity dimension is a continuous function of the defining maps. The proof also yields the continuity of a topological pressure arising in the study of random matrix products. I survey th
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https://doi.org/10.1007/978-3-662-01537-7rential geometry. In recent years their fractal versions have been introduced via approximation by parallel sets of small distances. In the present paper stability properties of the corresponding limits under small perturbations of these neighborhoods are studied. The well-known Minkowski content ma
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