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作者 Novak, Miroslav M
書名 Thinking In Patterns : Fractals and Related Phenomena in Nature
出版項 Singapore : World Scientific Publishing Company, 2004
©2004
國際標準書號 9789812702746 (electronic bk.)
9789812388223
book jacket
說明 1 online resource (336 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
附註 Intro -- Contents -- Preface M. M. Novak -- Selected Topics in Mathematics, Physics, and Finance Originating in Fractal Geometry B. B. Mandelbrot -- 1 Introductory comments of various kinds -- 2 Complex Brownian bridge -- Brownian cluster and the dimension 4/3 of its boundary -- the self-avoiding plane Brownian motion -- 3 Explosive multiplication of new fractal constructions, dimensions (including negative ones), and Holder exponents -- 4 Tools of fractal analysis other than the dimensions: ramification and lacunarity -- 5 Fractality of the major fractal clusters in statistical physics -- 6 Interrelations between fractality and smooth variability: some cases may have a common origin in the usual partial differential equations -- 7 Iterates of the complex map z2 + c. Julia and Mandelbrot sets -- 8 Limit sets of Kleinian groups -- 9 The study of power law probability distributions and the notion that variability and randomness can fall into distinct "states," ranging from "mild" to "slow" and "wild -- 10 The variation of financial prices -- 11 The directly useful fractal -- 12 Fractals in the college and school classroom -- Acknowledgements -- References -- A Renewal Process of Mittag-Leffler Type F. Mainardi, R. Gorenflo and E. Scalas -- 1 Essentials of renewal theory -- 2 The Poisson process as a renewal process -- 3 A fractional generalization of the renewal Poisson process -- 4 The Mittag-Leffler distribution as limit for thinned renewal processes -- 5 Conclusions -- Acknowledgements -- References -- On the Activity of Absorbing Irregular Interfaces J. S. Andrade Jr., H. F. Da Silva, E. A. Henrique and B. Sapoval -- 1 Introduction -- 2 Laplacian Transport and the Theorem of Makarov -- 3 The Nonequilibrium Molecular Dynamics Model -- 4 The Random-Walk Model -- 5 Summary -- Acknowledgments -- References
Fractal Deformation Using Displacement Vectors and Their Increasing Rates Based on Extended Unit Iterated Shuffle Transformation T. Fujimoto and N. Chiba -- 1 Introduction -- 2 Extended Unit Iterated Shuffle Transformation -- 3 Fractal Deformation by Applying IST to Displacement Vectors -- 4 Fractal Deformation by Applying IST to Increasing Rates of Displacement Vectors -- 5 Conclusion and Future Work -- References -- Multifractal and Stochastic Analysis of Electropolished Surfaces M. Haase, A. Mora and B. Lehle -- 1 Introduction -- 2 Characteristic length scales and scaling regions -- 3 Multifractal analysis based on wavelets -- 4 Stochastic Analysis -- 5 Conclusions -- References -- A Method for Numerical Estimation of Generalized Renyi Dimensions of Affine Recurrent IFS Invariant Measures T. Martyn -- 1 Introduction -- 2 Preliminaries -- 3 Lattice approximation of RIFS invariant measure -- 4 Computing Renyi dimensions -- 5 Discussion of results -- Acknowledgments -- References -- Nonlinear Dynamics and Prediction of the Caspian Sea Level N. G. Makarenko, L. M. Karimova, Y. B. Kuandykov and M. M. Novak -- 1 Introduction -- 2 Caspian Sea Level Data Description and Methods of Analysis -- 3 CSL Forecasting by Artificial Neural Networks -- 4 Conclusions -- 5 Acknowledgments -- References -- Self-similarity in Plants: Integrating Mathematical and Biological Perspectives P. Prusinkiewicz -- 1 Introduction -- 2 Identity-in-parallel and iterated function systems -- 3 L-systems, recurrence systems, and self-similarity -- 4 Catenative formulas -- 5 Data-flow network representation of recurrence systems -- 6 Extension to branching structures -- 7 Relation between topological and geometric self-similarity -- 8 Conclusions -- Acknowledgments -- References
Cognitive Scale-free Networks as a Model for Intermittency in Human Natural Language P. Allegrini, P. Grigolini and L. Palatella -- 1 Introduction -- 2 DE and concepts -- 3 Scale-free networks, intermittency and the Zipf's law -- 4 Conclusions -- References -- The Complexity of Biological Ageing D. Stauffer -- 1 Introduction -- 2 Demography -- 3 Why do we age? -- 4 Simulations of mutation accumulation -- 5 Sex -- 6 Conclusion -- Acknowledgements -- References -- Fitting Curves by Fractal Interpolation: An Application to the Quantification of Cognitive Brain Processes M. A. Navascues and M. V. Sebastian -- 1 Introduction -- 2 Fractal Interpolation of a Continuous Function in a Compact Real Interval -- 3 Fit of sampled data by fractal interpolation -- 4 Application to the quantification of cognitive brain processes -- Acknowledgments -- References -- Stochastic and Regular Components in Forcing of Solar Large-scale Structures E. Tikhomolov -- 1 Introduction -- 2 Model -- 3 Results -- 4 Discussion -- References -- Fast, Efficient On-line Simulation of Self-similar Processes O.D.Jones -- 1 Introduction -- 2 EBP processes -- 3 Simulation algorithm -- 4 Proofs -- References -- Fractal Geometry in the Arts: An Overview Across The Different Cultures N.Sala -- 1 Introduction -- 2 Fractal components in the arts -- 3 Conclusions -- 4 References -- Fractal Properties and Characterization of Road Profiles P. Legrand, J. Levy Vehel and M.-T. Do -- 1 Introduction and background -- 2 The road profiles -- 3 Fractal analysis -- 4 Results -- References -- Fractal Distributions of Temperature, Salinity and Fluorescence in Spring 2001-2002 in South San Francisco Bay K. Fisher and W. Kimmerer -- 1 Introduction -- 2 Data and Methods -- 3 Results -- 4 Discussion -- 5 Conclusions -- 6 Acknowledgements -- References
Characterization of Fractal Structures Through a Hausdorf Measure Based Method F.Nekka and J.Li -- 1 Introduction -- 2 Hausdorff Measure Spectrum Functions of Uniform Cantor Sets. -- 3 Applications -- 4 Conclusion -- Acknowledgments -- References -- Fractal Scattering Indicators for Urban Sound Diffusion P. W. Woloszyn -- 1 Introduction: Problem and purpose -- 2 Diffusion through oblique incident wave -- 3 Diffraction and structure factor of a multiscalc rough boundary surface -- 4 Application : a Facade scattering characterization -- 5 Experimental validation: In situ measurements -- 6 Conclusion -- 7 References -- Binomial Multiplicative Model of Critical Fragmentation H. Katsuragi, D. Sugino and H. Honjo -- 1 Introduction -- 2 Experiment -- 3 Model -- 4 Discussion -- 5 Conclusions -- Acknowledgments -- References -- Study on the Improved Fractal Interpolation Surface of the Attitude and Surface of Fault H. Sun and H. Xie -- 1. Introduction -- 2. The principles of fractal interpolation surface on a rectangle field -- 3. Attitude analyses of the fault surface -- 4. Improved fractal interpolation surface of the fault surface -- 5. Fractal interpolation of the fault surface -- 6. Conclusions -- Acknowledgements -- References -- A Deterministic Power Domain Algorithm for Fractal Image Decompression N. Nikolaou, A. Kakos and V. Drakopoulos -- 1 Introduction -- 2 A Computational Model -- 3 The Plotkin Power Domain Algorithm -- 4 The Algorithm and its Complexity -- 5 Conclusions -- Appendix -- References -- Comparative Dynamical Scaling Analysis of Quasi-2D Electrodeposited Silver Patterns under Localized and Non-localized Random Quenched Noise M. A. Pasquale, S. L. Marchiano and A. J. Arvia -- 1 Introduction -- 2 Experimental -- 3 Results and Discussion -- A cknowledgment s -- References
Epidermal Ridges: Positional Information Coded in an Orientational Field M. B. Nguyen, V. Fleury and J.-F. Gouyet -- 1 Introduction -- 2 Epidermal Ridges -- 3 The model -- 4 Results -- 5 Conclusion -- References -- Multiscale Principal Components A. Saucier -- 1 Introduction -- 2 Overview of our approach to the construction of multiscale principal components -- 3 Construction of the first order MFC -- 4 Construction of higher order MFCs -- 5 Diadic MPCs -- 6 Conclusions -- References -- Coexistence of Doublon and Dendrite Structure with Phase-Field Model S. Tokunaga and H. Sakaguchi -- 1. Introduction -- 2. Model equation -- 3. Result and discussion -- 4. Summary -- References -- Fractality and Fractal Dimension in Mesoamerican Pyramid Analysis G. Burkle-Elizondo, A. G. Fuentes-Larios and R. D. Valdez-Cepeda -- References -- Morphological Variety in Crystal Growth of Mercury (II) Chloride on Agar Slides /. A. Betancourt-Mar and E. J. Sudrez-Dominguez -- References -- Fractal Characteristics of Bainbridge Crater Lake Sediment Gray-scale Intensity Data Documenting the Frequency and Intensity of Holocene El Nino/Southern Oscillation Events N. A. Bryksina and W. M. Last -- References -- Fractals and Plant Water Use Efficiency A. Bari, G. Ayad, A. Martin, J. L. Gonzalez-Andujar, M. Naclrit, and I. Elouafi -- References -- Need and Feasibility of Applying L-system Models in Agricultural Crop Modeling L. Pachepsky, M. Kaul, Ch. Walthall, C. Daughtry and]. Lydon -- Fractal Detection and Avoidance Using RS Statistics and Honeybee Navigational Skills in Dynamic Environments R.L.Walker -- References -- Signal and Image Processing with FracLab J. Levy Vehel and P. Legrand -- References -- Author Index
Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors. This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics — from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry. The proceedings have been selected for coverage in:. • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings). • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). • CC Proceedings — Engineering & Physical Sciences
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
鏈接 Print version: Novak, Miroslav M Thinking In Patterns: Fractals And Related Phenomena In Nature Singapore : World Scientific Publishing Company,c2004 9789812388223
主題 Fractals -- Congresses.;Mathematical physics
Electronic books
Alt Author Novak, M. M
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