Geometry and Analysis of Fractals: Hong Kong, December 2012 - Softcover

Inhaltsangabe

Mandelbrot cascades and related topics.- Law of pure types and some exotic spectra of fractal spectral measures.- The role of transfer operators and shifts in the study of fractals: encoding-models, analysis and geometry, commutative and non-commutative.- Generalized energy inequalities and higher multifractal moments.- Some Aspects of Multifractal analysis.- Heat kernels on metric measure spaces.- Stochastic completeness of jump processes on metric measure spaces.- Self similar sets, entropy and additive combinatorics.- Quasisymmetric modification of metrics on self-similar sets.- Recent progress on dimensions of projections.- The geometry of fractal percolation.- Self-affine sets and the continuity of subadditive pressure.- Stability properties of fractal curvatures

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