Further Developments In Fractals And Related Fields Mathematical Foundations And Connections Julien Barral Stephane Seuret Eds by Julien Barral; Stéphane Seuret (eds.) 9780817684006, 081768400X instant download after payment.

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. Read more... The Rauzy Gasket / Pierre Arnoux, Štěpán Starosta -- On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets / Frédéric Bayart, Yanick Heurteaux -- Hausdorff Dimension and Diophantine Approximation / Yann Bugeaud -- Singular Integrals on Self-similar Subsets of Metric Groups / Vasilis Chousionis, Pertti Mattila -- Multivariate Davenport Series / Arnaud Durand, Stéphane Jaffard -- Dimensions of Self-affine Sets: A Survey / Kenneth Falconer -- The Multifractal Spectra of V-Statistics / Ai-hua Fan, Jörg Schmeling, Meng Wu -- Projections of Measures Invariant Under the Geodesic Flow / Maarit Järvenpää -- Multifractal Tubes / Lars Olsen -- The Multiplicative Golden Mean Shift Has Infinite Hausdorff Measure / Yuval Peres, Boris Solomyak -- The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures for Dynamically Semi-regular Meromorphic Functions / Bartłomiej Skorulski, Mariusz Urbański -- Cookie-Cutter-Like Sets with Graph-Directed Construction / Shen Fan, Qing-Hui Liu, Zhi-Ying Wen -- Recent Developments on Fractal Properties of Gaussian Random Fields / Yimin Xiao