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Autore: | Lowen Steven Bradley <1962-> |
Titolo: | Fractal-based point processes [[electronic resource] /] / Steven Bradley Lowen, Malvin Carl Teich |
Pubblicazione: | Hoboken, N.J., : Wiley-Interscience, 2005 |
Descrizione fisica: | 1 online resource (628 p.) |
Disciplina: | 514.742 |
519.2/3 | |
519.23 | |
Soggetto topico: | Point processes |
Fractals | |
Soggetto genere / forma: | Electronic books. |
Altri autori: | TeichMalvin Carl |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references (p. 513-565) and index. |
Nota di contenuto: | Fractal-Based Point Processes; Preface; Contents; List of Figures; List of Figures; List of Tables; List of Tables; Authors; 1 Introduction; 1.1 Fractals; 1.1 Coastline of Iceland at different scales; 1.2 Point Processes; 1.3 Fractal-Based Point Processes; 1.2 Vehicular-traffic point process; Problems; 1.1 Length of Icelandic coastline at different scales; 1.2 Polygon approximation for perimeter of circle; 2 Scaling, Fractals, and Chaos; 2.1 Dimension; 2.1 Representative objects: measurements and dimensions; 2.2 Scaling Functions; 2.3 Fractals; 2.4 Examples of Fractals |
2.1 Cantor-set construction2.2 Realization of Brownian motion; 2.3 Fern: a nonrandom natural fractal; 2.4 Grand Canyon: a random natural fractal; 2.5 Examples of Nonfractals; 2.5 Realization of a homogeneous Poisson process; 2.6 Deterministic Chaos; 2.6 Nonchaotic system with nonfractal attractor: time course; 2.7 Chaotic system with nonfractal attractor: time course; 2.8 Chaotic system with fractal attractor; 2.9 Chaotic system with fractal attractor: time course; 2.10 Nonchaotic system with fractal attractor; 2.7 Origins of Fractal Behavior | |
2.11 Nonchaotic system with fractal attractor: time course2.8 Ubiquity of Fractal Behavior; Problems; 3 Point Processes: Definition and Measures; 3.1 Point Processes; 3.2 Representations; 3.1 Point-process representations; 3.3 Interval-Based Measures; 3.2 Rescaled-range analysis: pseudocode; 3.3 Rescaled-range analysis: illustration; 3.4 Detrended fluctuation analysis: pseudocode; 3.4 Count-Based Measures; 3.5 Detrended fluctuation analysis: illustration; 3.6 Construction of normalized variances; 3.5 Other Measures; Problems; 4 Point Processes: Examples; 4.1 Homogeneous Poisson Point Process | |
4.2 Renewal Point Processes4.3 Doubly Stochastic Poisson Point Processes; 4.1 Stochastic-rate point processes; 4.4 Integrate-and-Reset Point Processes; 4.5 Cascaded Point Processes; 4.2 Cascaded point process; 4.6 Branching Point Processes; 4.7 Lévy-Dust Counterexample; Problems; 5 Fractal and Fractal-Rate Point Processes; 5.1 Measures of Fractal Behavior in Point Processes; 5.2 Ranges of Power-Law Exponents; 5.3 Relationships among Measures; 5.4 Examples of Fractal Behavior in Point Processes; 5.1 Representative rate spectra; 5.2 Representative normalized Haar-wavelet variances | |
5.5 Fractal-Based Point Processes5.3 Normalized Daubechies-wavelet variances; 5.4 Fractal and nonfractal point processes; 5.5 Fractal-rate and nonfractal point processes; Problems; 5.6 Estimated normalized-variance curves; 5.7 Representative interval spectra; 5.8 Representative interval wavelet variances; 5.9 Representative interevent-interval histograms; 5.10 Representative capacity dimensions; 5.11 Generalized dimensions for an exocytic point process; 6 Processes Based on Fractional Brownian Motion; 6.1 Fractional Brownian Motion; 6.1 Realizations of fractional Brownian motion | |
6.2 Fractional Gaussian Noise | |
Sommario/riassunto: | An integrated approach to fractals and point processesThis publication provides a complete and integrated presentation of the fields of fractals and point processes, from definitions and measures to analysis and estimation. The authors skillfully demonstrate how fractal-based point processes, established as the intersection of these two fields, are tremendously useful for representing and describing a wide variety of diverse phenomena in the physical and biological sciences. Topics range from information-packet arrivals on a computer network to action-potential occurrences in a neural |
Titolo autorizzato: | Fractal-based point processes |
ISBN: | 1-280-27839-0 |
9786610278398 | |
0-470-35478-X | |
0-471-75472-2 | |
0-471-75470-6 | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910144723003321 |
Lo trovi qui: | Univ. Federico II |
Opac: | Controlla la disponibilità qui |