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

By Julien Barral and Stéphane Seuret

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.

• Format: Hardcover
• Language: English
• ISBN: 0817683992
• ISBN13: 9780817683993
• Release Date: February 2013
• Publisher: Birkhauser
• Length: 288 Pages
• Weight: 1.23 lbs.
• Dimensions: 0.8" x 6.2" x 9.2"