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＜電子ブック＞
Further Developments in Fractals and Related Fields : Mathematical Foundations and Connections / edited by Julien Barral, Stéphane Seuret
(Trends in Mathematics. ISSN:2297024X)

版	1st ed. 2013.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	2013
大きさ	XIII, 288 p. 28 illus., 12 illus. in color : online resource
著者標目	Barral, Julien editor Seuret, Stéphane editor SpringerLink (Online service)
件　名	LCSH:Geometry LCSH:Harmonic analysis LCSH:Functional analysis LCSH:Differential equations LCSH:Dynamical systems LCSH:Probabilities FREE:Geometry FREE:Abstract Harmonic Analysis FREE:Functional Analysis FREE:Differential Equations FREE:Dynamical Systems FREE:Probability Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-0-8176-8400-6

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