rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Recent Developments in Fractals and Related Fields
    sub title: Conference on Fractals and Related Fields III, île de Porquerolles, France, 2015
  name:
    name part: Barral, Julien.
    role:
      role term: editor.
  name:
    name part: Seuret, Stéphane.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 312 p. 31 illus., 15 illus. in color. online resource.
  abstract: 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.
  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).
  note: edited by Julien Barral, Stéphane Seuret.
  subject:
    topic: Mathematics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Functional analysis
  subject:
    topic: Measure theory
  subject:
    topic: Number theory
  subject:
    topic: Probabilities
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Functional Analysis
  subject:
    topic: Measure and Integration
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Combinatorics
  subject:
    topic: Number Theory
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Trends in Mathematics
  identifier: 9783319578057
  identifier: http://dx.doi.org/10.1007/978-3-319-57805-7
  record info:
    record creation date: 170824
    record change date: 20170824074058.0
    record identifier: 978-3-319-57805-7