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Recent Developments in Fractals and Related Fields: Conference on Fractals and Related Fields III, īle de Porquerolles, France, 2015 1st ed. 2017 [Hardback]

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  • Formāts: Hardback, 312 pages, height x width: 235x155 mm, weight: 6092 g, 15 Illustrations, color; 16 Illustrations, black and white; XII, 312 p. 31 illus., 15 illus. in color., 1 Hardback
  • Sērija : Trends in Mathematics
  • Izdošanas datums: 21-Sep-2017
  • Izdevniecība: Birkhauser Verlag AG
  • ISBN-10: 3319578030
  • ISBN-13: 9783319578033
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Recent Developments in Fractals and Related Fields: Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015 1st ed. 2017Palielināt
  • Formāts: Hardback, 312 pages, height x width: 235x155 mm, weight: 6092 g, 15 Illustrations, color; 16 Illustrations, black and white; XII, 312 p. 31 illus., 15 illus. in color., 1 Hardback
  • Sērija : Trends in Mathematics
  • Izdošanas datums: 21-Sep-2017
  • Izdevniecība: Birkhauser Verlag AG
  • ISBN-10: 3319578030
  • ISBN-13: 9783319578033
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9783319578033.html
Keywords:
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, France. Chapters cover fields related to fractals such as harmonic analysis, multifractal analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, wavelets, potential theory, partial differential equations, fractal tilings, combinatorics, and signal and image processing. The book is aimed at pure and applied mathematicians in these areas, as well as other researchers interested in discovering the fractal domain.
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).