000 03680nam a22005655i 4500
001 978-0-8176-8400-6
003 DE-He213
005 20140220082759.0
007 cr nn 008mamaa
008 130220s2013 xxu| s |||| 0|eng d
020 _a9780817684006
_9978-0-8176-8400-6
024 7 _a10.1007/978-0-8176-8400-6
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
082 0 4 _a516
_223
100 1 _aBarral, Julien.
_eeditor.
245 1 0 _aFurther Developments in Fractals and Related Fields
_h[electronic resource] :
_bMathematical Foundations and Connections /
_cedited by Julien Barral, Stéphane Seuret.
264 1 _aBoston :
_bBirkhäuser Boston :
_bImprint: Birkhäuser,
_c2013.
300 _aXIII, 288 p. 28 illus., 12 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTrends in Mathematics
505 0 _aThe 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.    .
520 _aThis 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.
650 0 _aMathematics.
650 0 _aHarmonic analysis.
650 0 _aDifferentiable dynamical systems.
650 0 _aFunctional analysis.
650 0 _aDifferential equations, partial.
650 0 _aGeometry.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aGeometry.
650 2 4 _aAbstract Harmonic Analysis.
650 2 4 _aFunctional Analysis.
650 2 4 _aPartial Differential Equations.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aProbability Theory and Stochastic Processes.
700 1 _aSeuret, Stéphane.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817683993
830 0 _aTrends in Mathematics
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-8400-6
912 _aZDB-2-SMA
999 _c94222
_d94222