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Field name	Details
Dewey Class	514.742
Title	Further Developments in Fractals and Related Fields ([Ebook]) : Mathematical Foundations and Connections / edited by Julien Barral, Stéphane Seuret.
Author	Barral, Julien
Added Personal Name	Seuret, Stéphane
Other name(s)	SpringerLink (Online service)
Publication	Boston : Birkhäuser
Publication	, 2013.
Physical Details	XIII, 288 pages, 28 illus., 12 illus. in color. : online resource.
Series	Trends in mathematics
ISBN	9780817684006
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-8400-6
Links to Related Works	Subject References: Abstract Harmonic Analysis . Differentiable dynamical systems . Differential equations, Partial . Distribution (Probability theory) . Dynamical systems and ergodic theory . Fractals . Functional Analysis . Geometry . Harmonic analysis . Partial differential equations . Authors: Barral, Julien . editor . Seuret, Stéphane . Corporate Authors: SpringerLink (Online service) . Series: Trends in mathematics . Classification: 514.742 . 514.742 (DDC 23) .

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

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