05024nam a22005535i 4500 978-0-8176-4888-6 DE-He213 20260521092032.0 cr nn 008mamaa 100726s2010 xxu| s |||| 0|eng d 9780817648886 99780817648886 10.1007/978-0-8176-4888-6 doi 516 23 Barral, Julien. editor. Recent Developments in Fractals and Related Fields [electronic resource] / edited by Julien Barral, Stéphane Seuret. Boston : Birkhäuser Boston, 2010. XX, 419p. 45 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Applied and Numerical Harmonic Analysis Geometric 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. This 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 MATHEMATICS. HARMONIC ANALYSIS. DIFFERENTIABLE DYNAMICAL SYSTEMS. FUNCTIONAL ANALYSIS. DIFFERENTIAL EQUATIONS, PARTIAL. GEOMETRY. DISTRIBUTION (PROBABILITY THEORY). MATHEMATICS. GEOMETRY. ABSTRACT HARMONIC ANALYSIS. FUNCTIONAL ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS. DYNAMICAL SYSTEMS AND ERGODIC THEORY. PROBABILITY THEORY AND STOCHASTIC PROCESSES. Seuret, Stéphane. editor. SpringerLink (Online service) Springer eBooks Printed edition: 9780817648879 Applied and Numerical Harmonic Analysis http://dx.doi.org/10.1007/978-0-8176-4888-6 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35744 35744 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 516 2025-10-06 08:44:39 2025-10-06 ER