TY - BOOK ID - 8654325 TI - Recent Developments in Fractals and Related Fields AU - Barral, Julien. AU - Seuret, Stéphane. AU - Fractals and Related Fields PY - 2010 SN - 0817648879 0817648887 PB - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, DB - UniCat KW - Astronomy -- Mathematics. KW - Dimension theory (Topology). KW - Fractals. KW - Mathematics in nature. KW - Fractals KW - Mathematics KW - Physical Sciences & Mathematics KW - Geometry KW - Differential equations. KW - 517.91 Differential equations KW - Differential equations KW - Fractal geometry KW - Fractal sets KW - Geometry, Fractal KW - Sets, Fractal KW - Sets of fractional dimension KW - Mathematics. KW - Harmonic analysis. KW - Dynamics. KW - Ergodic theory. KW - Functional analysis. KW - Functions of complex variables. KW - Geometry. KW - Probabilities. KW - Dynamical Systems and Ergodic Theory. KW - Functions of a Complex Variable. KW - Probability Theory and Stochastic Processes. KW - Abstract Harmonic Analysis. KW - Functional Analysis. KW - Dimension theory (Topology) KW - Differentiable dynamical systems. KW - Distribution (Probability theory. KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations KW - Analysis (Mathematics) KW - Functions, Potential KW - Potential functions KW - Banach algebras KW - Calculus KW - Mathematical analysis KW - Bessel functions KW - Fourier series KW - Harmonic functions KW - Time-series analysis KW - Euclid's Elements KW - Distribution functions KW - Frequency distribution KW - Characteristic functions KW - Probabilities KW - Complex variables KW - Elliptic functions KW - Functions of real variables KW - Differential dynamical systems KW - Dynamical systems, Differentiable KW - Dynamics, Differentiable KW - Global analysis (Mathematics) KW - Topological dynamics KW - Probability KW - Statistical inference KW - Combinations KW - Chance KW - Least squares KW - Mathematical statistics KW - Risk KW - Ergodic transformations KW - Continuous groups KW - Mathematical physics KW - Measure theory KW - Transformations (Mathematics) KW - Dynamical systems KW - Kinetics KW - Mechanics, Analytic KW - Force and energy KW - Mechanics KW - Physics KW - Statics UR - https://www.unicat.be/uniCat?func=search&query=sysid:8654325 AB - 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. ER -