Recent Developments in Fractals and Related Fields Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015 / edited by Julien Barral, Stéphane Seuret.

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...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Barral, Julien (Editor), Seuret, Stéphane (Editor)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
Edition:1st ed. 2017.
Series:Trends in Mathematics,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of 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).