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Recent developments in fractals and related fields : Conference on Fractals and Related Fields III, Île De Porquerolles, France, 2015

Author: Julien Barral; Stéphane Seuret
Publisher: Cham : Springer, 2017.
Series: Trends in mathematics
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals, including both original research contributions, as well as surveys from many of the leading experts on modern fractal theory and applications. It is an outgrowth of the Conference of Fractals and Related Fields III, that was held on September 19-25, 2015 in île de Porquerolles,  Read more...
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Genre/Form: Electronic book
Electronic books
Congresses
Additional Physical Format: Printed edition:
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Julien Barral; Stéphane Seuret
ISBN: 9783319578057 3319578057
OCLC Number: 1004998123
Description: 1 online resource (xii, 312 pages) : illustrations
Contents: 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 (Järvenpää) --
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 (Zähle).
Series Title: Trends in mathematics
Responsibility: Julien Barral, Stéphane Seuret, editors.

Abstract:

Chapters cover fields related to fractals such as harmonic analysis, multifractal analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory,  Read more...

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