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Fractal Geometry and Stochastics V / / edited by Christoph Bandt, Kenneth Falconer, Martina Zähle
| Fractal Geometry and Stochastics V / / edited by Christoph Bandt, Kenneth Falconer, Martina Zähle |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 |
| Descrizione fisica | 1 online resource (339 p.) |
| Disciplina | 514.742 |
| Collana | Progress in Probability |
| Soggetto topico |
Probabilities
Geometry Measure theory Probability Theory and Stochastic Processes Measure and Integration |
| ISBN | 3-319-18660-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Introduction -- Part 1: Geometric Measure Theory -- Sixty Years of Fractal Projections -- Scenery flow, conical densities, and rectifiability -- The Shape of Anisotropic Fractals: Scaling of Minkowski Functionals -- Projections of self-similar and related fractals: a survey of recent developments -- Part 2: Self-similar Fractals and Recurrent Structures -- Dimension of the graphs of the Weierstrass-type functions -- Tiling Z2 by a set of four elements -- Some recent developments in quantization of fractal measures -- Apollonian Circle Packings -- Entropy of Lyapunov-optimizing measures of some matrix cocycles -- Part 3: Analysis and Algebra on Fractals -- Poincaré functional equations, harmonic measures on Julia sets, and fractal zeta functions -- From self-similar groups to self-similar sets and spectra -- Finite energy coordinates and vector analysis on fractals -- Fractal zeta functions and complex dimensions: A general higher-dimensional theory -- Part 4: Multifractal Theory -- Inverse problems in multifractal analysis -- Multifractal analysis based on p-exponents and lacunarity exponents -- Part 5: Random Constructions -- Dimensions of Random Covering Sets -- Expected lifetime and capacity. |
| Record Nr. | UNINA-9910299761803321 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractal geometry and stochastics VI / / Uta Freiberg, Ben Hambly, Michael Hinz and Steffen Winter (editors)
| Fractal geometry and stochastics VI / / Uta Freiberg, Ben Hambly, Michael Hinz and Steffen Winter (editors) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (312 pages) : illustrations |
| Disciplina | 514.742 |
| Collana | Progress in Probability |
| Soggetto topico |
Fractals
Stochastic processes Processos estocàstics |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-59649-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466552003316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Fractal geometry and stochastics VI / / Uta Freiberg, Ben Hambly, Michael Hinz and Steffen Winter (editors)
| Fractal geometry and stochastics VI / / Uta Freiberg, Ben Hambly, Michael Hinz and Steffen Winter (editors) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (312 pages) : illustrations |
| Disciplina | 514.742 |
| Collana | Progress in Probability |
| Soggetto topico |
Fractals
Stochastic processes Processos estocàstics |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-59649-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910485142703321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings / / by Michel L. Lapidus, Machiel van Frankenhuijsen
| Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings / / by Michel L. Lapidus, Machiel van Frankenhuijsen |
| Autore | Lapidus Michel L |
| Edizione | [2nd ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (582 p.) |
| Disciplina | 514.742 |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Number theory
Measure theory Partial differential equations Dynamics Ergodic theory Global analysis (Mathematics) Manifolds (Mathematics) Functional analysis Number Theory Measure and Integration Partial Differential Equations Dynamical Systems and Ergodic Theory Global Analysis and Analysis on Manifolds Functional Analysis |
| ISBN |
1-283-90955-3
1-4614-2176-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Overview -- Introduction -- 1. Complex Dimensions of Ordinary Fractal Strings -- 2. Complex Dimensions of Self-Similar Fractal Strings -- 3. Complex Dimensions of Nonlattice Self-Similar Strings -- 4. Generalized Fractal Strings Viewed as Measures -- 5. Explicit Formulas for Generalized Fractal Strings -- 6. The Geometry and the Spectrum of Fractal Strings -- 7. Periodic Orbits of Self-Similar Flows -- 8. Fractal Tube Formulas -- 9. Riemann Hypothesis and Inverse Spectral Problems -- 10. Generalized Cantor Strings and their Oscillations -- 11. Critical Zero of Zeta Functions -- 12 Fractality and Complex Dimensions -- 13. Recent Results and Perspectives -- Appendix A. Zeta Functions in Number Theory -- Appendix B. Zeta Functions of Laplacians and Spectral Asymptotics -- Appendix C. An Application of Nevanlinna Theory -- Bibliography -- Author Index -- Subject Index -- Index of Symbols -- Conventions -- Acknowledgements. |
| Record Nr. | UNINA-9910438156403321 |
Lapidus Michel L
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractal-based point processes [[electronic resource] /] / Steven Bradley Lowen, Malvin Carl Teich
| Fractal-based point processes [[electronic resource] /] / Steven Bradley Lowen, Malvin Carl Teich |
| Autore | Lowen Steven Bradley <1962-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, 2005 |
| Descrizione fisica | 1 online resource (628 p.) |
| Disciplina |
514.742
519.2/3 519.23 |
| Altri autori (Persone) | TeichMalvin Carl |
| Collana | Wiley Series in Probability and Statistics |
| Soggetto topico |
Point processes
Fractals |
| Soggetto genere / forma | Electronic books. |
| 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 | eng |
| 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 |
| Record Nr. | UNINA-9910144723003321 |
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Lowen Steven Bradley <1962->
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| Hoboken, N.J., : Wiley-Interscience, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractal-based point processes [[electronic resource] /] / Steven Bradley Lowen, Malvin Carl Teich
| Fractal-based point processes [[electronic resource] /] / Steven Bradley Lowen, Malvin Carl Teich |
| Autore | Lowen Steven Bradley <1962-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, 2005 |
| Descrizione fisica | 1 online resource (628 p.) |
| Disciplina |
514.742
519.2/3 519.23 |
| Altri autori (Persone) | TeichMalvin Carl |
| Collana | Wiley Series in Probability and Statistics |
| Soggetto topico |
Point processes
Fractals |
| 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 | eng |
| 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 |
| Record Nr. | UNINA-9910829972603321 |
|
Lowen Steven Bradley <1962->
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| Hoboken, N.J., : Wiley-Interscience, 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractales De Dios / / Kathy J. Forti
| Fractales De Dios / / Kathy J. Forti |
| Autore | Forti Kathy J. |
| Pubbl/distr/stampa | [Place of publication not identified] : , : Rinnovo Press, , 2014 |
| Descrizione fisica | 1 online resource (196 pages) |
| Disciplina | 514.742 |
| Soggetto topico | Fractals |
| ISBN | 1-63339-370-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | spa |
| Record Nr. | UNINA-9910163345903321 |
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Forti Kathy J.
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| [Place of publication not identified] : , : Rinnovo Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractals : a user's guide for the natural sciences / Harold M. Hastings, George Sugihara
| Fractals : a user's guide for the natural sciences / Harold M. Hastings, George Sugihara |
| Autore | Hastings, Harold H. |
| Pubbl/distr/stampa | Oxford : Oxford University Press, 1993 |
| Descrizione fisica | XI, 235 p. ; 23 cm |
| Disciplina | 514.742 |
| Altri autori (Persone) | Sugihara, George |
| Soggetto non controllato |
Frattali
Topologia |
| ISBN | 0-19-854597-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001792170403321 |
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Hastings, Harold H.
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| Oxford : Oxford University Press, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractals and chaos / A. J. Crilly, R. A. Earnshaw, H. Jones, editors
| Fractals and chaos / A. J. Crilly, R. A. Earnshaw, H. Jones, editors |
| Autore | Crilly, A. J. |
| Pubbl/distr/stampa | New York : Springer-Verlag, c1991 |
| Descrizione fisica | viii, 277 p. : ill. (some col.) ; 25 cm |
| Disciplina | 514.742 |
| Altri autori (Persone) |
Earnshaw, Rae A.
Jones, Huw |
| Soggetto topico |
Chaotic behavior in systems
Fractals |
| ISBN | 0387973621 |
| Classificazione |
AMS 28-06
AMS 28A80 AMS 58F LC QA614.86.F7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000910879707536 |
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Crilly, A. J.
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| New York : Springer-Verlag, c1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Fractals and chaos : the Mandelbrot set and beyond / Benoit B. Mandelbrot ; with a foreword by P. W. Jones ; and texts co-authorized by C. J. G. Evertsz and M. C. Gutzwiller
| Fractals and chaos : the Mandelbrot set and beyond / Benoit B. Mandelbrot ; with a foreword by P. W. Jones ; and texts co-authorized by C. J. G. Evertsz and M. C. Gutzwiller |
| Autore | Mandelbrot, Benoît B. |
| Pubbl/distr/stampa | New York, : Springer, c2004 |
| Descrizione fisica | XII, 308p. : ill. ; 24 cm. |
| Disciplina | 514.742 |
| Soggetto topico | Frattali |
| ISBN | 0387201580 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISANNIO-RMS1106380 |
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Mandelbrot, Benoît B.
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| New York, : Springer, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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