<電子ブック>
Recent Developments in Fractals and Related Fields / edited by Julien Barral, Stéphane Seuret
(Applied and Numerical Harmonic Analysis. ISSN:22965017)
版 | 1st ed. 2010. |
---|---|
出版者 | (Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser) |
出版年 | 2010 |
本文言語 | 英語 |
大きさ | XX, 419 p. 45 illus : online resource |
著者標目 | Barral, Julien editor Seuret, Stéphane editor SpringerLink (Online service) |
件 名 | LCSH:Dynamical systems LCSH:Functions of complex variables LCSH:Probabilities LCSH:Geometry LCSH:Harmonic analysis LCSH:Functional analysis FREE:Dynamical Systems FREE:Functions of a Complex Variable FREE:Probability Theory FREE:Geometry FREE:Abstract Harmonic Analysis FREE:Functional Analysis |
一般注記 | 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 HTTP:URL=https://doi.org/10.1007/978-0-8176-4888-6 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9780817648886 |
|
電子リソース |
|
EB00231226 |
類似資料
この資料の利用統計
このページへのアクセス回数:4回
※2017年9月4日以降