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Further Developments in Fractals and Related Fields: Mathematical Foundations and Connections de Julien Barral

Further Developments in Fractals and Related Fields: Mathematical Foundations and Connections: Trends in Mathematics

Editat de Julien Barral, Stéphane Seuret
en Limba Engleză Hardback – 20 feb 2013
This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications.
The chapters cover fields related to fractals such as:
*geometric measure theory
*ergodic theory
*dynamical systems
*harmonic and functional analysis
*number theory
*probability theory
Further Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.
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Specificații

ISBN-13: 9780817683993
ISBN-10: 0817683992
Pagini: 288
Ilustrații: XIII, 288 p. 28 illus., 12 illus. in color.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.56 kg
Ediția:2013
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Trends in Mathematics

Locul publicării:Boston, MA, United States

Public țintă

Research

Cuprins

The Rauzy Gasket.- On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets.- Hausdorff Dimension and Diophantine Approximation.- Singular Integrals on Self-Similar Subsets of Metric Groups.- Multivariate Davenport Series.- Dimensions of Self-Affine Sets.- The Multifractal Spectra of V-Statistics.- Projections of Measures Invariant Under the Geodesic Flow.- Multifractal Tubes.- The Multiplicative Golden Mean Shift has Infinite Hausdorff Measure.- The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures For Dynamically Semi-Regular Meromorphic Functions.- Cookie-Cutter-Like Sets with Graph Directed Construction.- Recent Developments on Fractal Properties of Gaussian Random Fields.
 
 

Textul de pe ultima copertă

This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications.
The chapters cover fields related to fractals such as:
*geometric measure theory
*ergodic theory
*dynamical systems
*harmonic and functional analysis
*number theory
*probability theory
Further Developments in Fractals and Related Fields is aimed at pure and applied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenues for further research.

Caracteristici

Provides an overview of recent developments in the 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? Includes supplementary material: sn.pub/extras