Recent Developments in Fractals and Related Fields

Recent Developments in Fractals and Related Fields

Conference on Fractals and Related Fields III, ile de Porquerolles, France, 2015

Barral, Julien; Seuret, Stephane

Birkhauser Verlag AG

09/2017

312

Dura

Inglês

9783319578033

6092

Descrição não disponível.
New exponents for pointwise singularity classification (Abry, Jaffard, Leonarduzzi, Melot, Wendt).- The two-dimensional density of Bernoulli Convolutions (Bandt).- Iterated Functions Systems, Blenders and Parablenders (Berger, Crovisier, Pujals).- Multifractal properties of convex hulls of typical continuous functions (Buczolich).- Fourier bases and Fourier frames on self-affine measures (Dutkay, Lai, Wang).- Self-similar sets: Projections, Sections and Percolation (Falconer, Jin).- Some problems on the boundary of fractal geometry and additive combinatorics (Hochman).- Random covering sets, hitting probabilities and variants of the covering problem (Jarvenpaa).- Small Union with Large Set of Centers (Keleti).- Some Recent developments of self-affine tiles (Lai, Lau).- A class of random Cantor measures, with applications (Shmerkin, Suomala).- A survey on the dimension theory in dynamical Diophantine approximation (Wang, Wu).- (S)PDE on Fractals and Gaussian Noise (Zahle).
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Applications of Fractala;Dynamical Systems;Ergodic Theory;Functional Analysis;Geometric Measure Theory;Probability & Stochastic Processes