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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Barral, Julien. (Editor), Seuret, Stp̌hane. (Editor)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston : Imprint: Birkhũser, 2013.
• Series: Trends in Mathematics
• Subjects: Mathematics.; Harmonic analysis.; Differentiable dynamical systems.; Functional analysis.; Differential equations, partial.; Geometry.; Distribution (Probability theory).; Abstract Harmonic Analysis.; Functional Analysis.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Probability Theory and Stochastic Processes.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-8400-6

This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, <U+001c>Fractals and Related Fields II, held in June 2011. The book provides readers with an overview of developments in the mathematical fields related t...

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. .