Further Developments in Fractals and Related Fields
Subtitle: Mathematical Foundations and Connections
By: edited by Julien Barral, Stéphane Seuret
Contributors: Seuret, Stéphane; SpringerLink (Online service)
Series: Trends in Mathematics
Publisher: Birkhäuser Boston; Imprint: Birkhäuser
Published: 2013
Place of publication: Boston
Language: eng
Format: [electronic resource] :
Number of pages: 288
ISBN-13: 9780817684006
Subjects: Geometry; Probability Theory and Stochastic Processes; Dynamical Systems and Ergodic Theory; Harmonic analysis; Distribution (Probability theory); Partial Differential equations; Abstract Harmonic Analysis; Differentiable dynamical systems; Functional analysis; Mathematics
Description: 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 theoryFurther 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.
Table of contents: title: The Rauzy Gasket; title: On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets; title: Hausdorff Dimension and Diophantine Approximation; title: Singular Integrals on Self-Similar Subsets of Metric Groups; title: Multivariate Davenport Series; title: Dimensions of Self-Affine Sets; title: The Multifractal Spectra of V-Statistics; title: Projections of Measures Invariant Under the Geodesic Flow; title: Multifractal Tubes; title: The Multiplicative Golden Mean Shift has Infinite Hausdorff Measure; title: The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures For Dynamically Semi-Regular Meromorphic Functions; title: Cookie-Cutter-Like Sets with Graph Directed Construction; title: Recent Developments on Fractal Properties of Gaussian Random Fields.  .