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Recent Developments in Fractals and Related Fields

  • Kartonierter Einband
  • 324 Seiten
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This contributed volume provides readers with an overview of the most recent developments in the mathematical fields related to fr... Weiterlesen
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Beschreibung

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.

Provides an overview of recent developments in mathematical fields related to fractals

Includes original research contributions as well as surveys written by experts in their respective fields

Readers will find interesting and motivating results as well as new avenues for further research?



Inhalt
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).

Produktinformationen

Titel: Recent Developments in Fractals and Related Fields
Untertitel: Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015
Editor:
EAN: 9783319862545
ISBN: 3319862545
Format: Kartonierter Einband
Herausgeber: Springer International Publishing
Genre: Mathematik
Anzahl Seiten: 324
Gewicht: 493g
Größe: H235mm x B155mm x T17mm
Jahr: 2018
Auflage: Softcover reprint of the original 1st ed. 2017

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