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

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.