Further Developments in Fractals and Related Fields Mathematical Foundations and Connections /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Barral, Julien (Editor), Seuret, Stéphane (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013.
• Series: Trends in Mathematics
• Subjects: Mathematics.; Harmonic analysis.; Dynamics.; Ergodic theory.; Functional analysis.; Partial differential equations.; Geometry.; Probabilities.; Abstract Harmonic Analysis.; Functional Analysis.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Probability Theory and Stochastic Processes.

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, i...

Table of Contents:

• 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.    .