000 05024nam a22005535i 4500
001 978-0-8176-4888-6
003 DE-He213
005 20251006084439.0
007 cr nn 008mamaa
008 100726s2010 xxu| s |||| 0|eng d
020 _a9780817648886
020 _a99780817648886
024 7 _a10.1007/978-0-8176-4888-6
_2doi
082 0 4 _a516
_223
100 1 _aBarral, Julien.
_eeditor.
245 1 0 _aRecent Developments in Fractals and Related Fields
_h[electronic resource] /
_cedited by Julien Barral, Stéphane Seuret.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2010.
300 _aXX, 419p. 45 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied and Numerical Harmonic Analysis
505 0 _aGeometric Measure Theory and Multifractals -- Occupation Measure and Level Sets of the Weierstrass-Cellerier Function -- Space-Filling Functions and Davenport Series -- Dimensions and Porosities -- On Upper Conical Density Results -- On the Dimension of Iterated Sumsets -- Geometric Measures for Fractals -- Harmonic and Functional Analysis and Signal Processing. -- A Walk from Multifractal Analysis to Functional Analysis with Spaces, and Back -- Concentration of the Integral Norm of Idempotents -- Le calcul symbolique dans certaines algèbres de type Sobolev -- Lp-Norms and Fractal Dimensions of Continuous Function Graphs -- Uncertainty Principles, Prolate Spheroidal Wave Functions, and Applications -- 2-Microlocal Besov Spaces -- Refraction on Multilayers -- Wavelet Shrinkage: From Sparsity and Robust Testing to Smooth Adaptation -- Dynamical Systems and Analysis on Fractals. -- Simple Infinitely Ramified Self-Similar Sets -- Quantitative Uniform Hitting in Exponentially Mixing Systems -- Some Remarks on the Hausdorff and Spectral Dimension of V-Variable Nested Fractals -- Cantor Boundary Behavior of Analytic Functions -- Measures of Full Dimension on Self-Affine Graphs -- Stochastic Processes and Random Fractals -- A Process Very Similar to Multifractional Brownian Motion -- Gaussian Fields Satisfying Simultaneous Operator Scaling Relations -- On Randomly Placed Arcs on the Circle -- T-Martingales, Size Biasing, and Tree Polymer Cascades -- Combinatorics on Words -- Univoque Numbers and Automatic Sequences -- A Crash Look into Applications of Aperiodic Substitutive Sequences -- Invertible Substitutions with a Common Periodic Point -- Some Studies on Markov-Type Equations.
520 _aThis book-an outgrowth of an international conference held in honor of Jacques Peyrière-provides readers with an overview of recent developments in the mathematical fields related to fractals. Included are original research contributions as well as surveys written by experts in their respective fields. The chapters are thematically organized into five major sections: • Geometric Measure Theory and Multifractals; • Harmonic and Functional Analysis and Signal Processing; • Dynamical Systems and Analysis on Fractals; • Stochastic Processes and Random Fractals; • Combinatorics on Words. Recent 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. Contributors: J.-P. Allouche, A.M. Atto, J.-M. Aubry, F. Axel, A. Ayache, C. Bandt, F. Bastin, P.R. Bertrand, A. Bonami, G. Bourdaud, Z. Buczolich, M. Clausel, Y. Demichel, X.-H. Dong, A. Durand, A.H. Fan, U.R. Freiberg, S. Jaffard, E. Järvenpää, A. Käenmäki, A. Karoui, H. Kempka, T. Langlet, K.-S. Lau, B. Li, M.M. France, S. Nicolay, E. Olivier, D. Pastor, H. Rao, S.Gy. Révész, J. Schmeling, A. Sebbar, P. Shmerkin, E.C. Waymire, Z.-X. Wen, Z.-Y. Wen, S.C. Williams, S. Winter
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:
_z9780817648879
830 0 _aApplied and Numerical Harmonic Analysis
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4888-6
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59811
_d59811