03676nam a22005535i 4500 978-0-8176-8400-6 DE-He213 20260521092035.0 cr nn 008mamaa 130220s2013 xxu| s |||| 0|eng d 9780817684006 99780817684006 10.1007/978-0-8176-8400-6 doi 516 23 Barral, Julien. editor. Further Developments in Fractals and Related Fields [electronic resource] : Mathematical Foundations and Connections / edited by Julien Barral, Stéphane Seuret. Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013. XIII, 288 p. 28 illus., 12 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Trends in Mathematics 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.    . 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 theory Further 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. MATHEMATICS. HARMONIC ANALYSIS. DIFFERENTIABLE DYNAMICAL SYSTEMS. FUNCTIONAL ANALYSIS. DIFFERENTIAL EQUATIONS, PARTIAL. GEOMETRY. DISTRIBUTION (PROBABILITY THEORY). MATHEMATICS. GEOMETRY. ABSTRACT HARMONIC ANALYSIS. FUNCTIONAL ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS. DYNAMICAL SYSTEMS AND ERGODIC THEORY. PROBABILITY THEORY AND STOCHASTIC PROCESSES. Seuret, Stéphane. editor. SpringerLink (Online service) Springer eBooks Printed edition: 9780817683993 Trends in Mathematics http://dx.doi.org/10.1007/978-0-8176-8400-6 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35843 35843 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 516 2025-10-06 08:44:41 2025-10-06 ER