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Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics [[electronic resource] /] / Rainer Klages
| Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics [[electronic resource] /] / Rainer Klages |
| Autore | Klages Rainer |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina | 530.13 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Nonequilibrium statistical mechanics
Chaotic behavior in systems Transport theory Fractals |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-12080-4
9786611120801 981-277-151-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction and outline; 1.1 Hamiltonian dynamical systems approach to nonequilibrium statistical mechanics; 1.2 Thermostated dynamical systems approach to nonequilibrium statistical mechanics; 1.3 The red thread through this book; Part 1: Fractal transport coefficients; 2. Deterministic diffusion; 3. Deterministic drift-diffusion; 4. Deterministic reaction-diffusion; 5. Deterministic diffusion and random perturbations; 6. From normal to anomalous diffusion; 7. From diffusive maps to Hamiltonian particle billiards
8. Designing billiards with irregular transport coefficients9. Deterministic diffusion of granular particles; Part 2: Thermostated dynamical systems; 10. Motivation: coupling a system to a thermal reservoir; 11. The Gaussian thermostat; 12. The Nos e-Hoover thermostat; 13. Universalities in Gaussian and Nos e-Hoover dynamics?; 14. Gaussian and Nose-Hoover thermostats revisited; 15. Stochastic and deterministic boundary thermostats; 16. Active Brownian particles and Nos e-Hoover dynamics; Part 3: Outlook and conclusions; 17. Further topics in chaotic transport theory; 18. Conclusions BibliographyIndex |
| Record Nr. | UNINA-9910450716603321 |
Klages Rainer
|
||
| Hackensack, N.J., : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics [[electronic resource] /] / Rainer Klages
| Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics [[electronic resource] /] / Rainer Klages |
| Autore | Klages Rainer |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina | 530.13 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Nonequilibrium statistical mechanics
Chaotic behavior in systems Transport theory Fractals |
| ISBN |
1-281-12080-4
9786611120801 981-277-151-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction and outline; 1.1 Hamiltonian dynamical systems approach to nonequilibrium statistical mechanics; 1.2 Thermostated dynamical systems approach to nonequilibrium statistical mechanics; 1.3 The red thread through this book; Part 1: Fractal transport coefficients; 2. Deterministic diffusion; 3. Deterministic drift-diffusion; 4. Deterministic reaction-diffusion; 5. Deterministic diffusion and random perturbations; 6. From normal to anomalous diffusion; 7. From diffusive maps to Hamiltonian particle billiards
8. Designing billiards with irregular transport coefficients9. Deterministic diffusion of granular particles; Part 2: Thermostated dynamical systems; 10. Motivation: coupling a system to a thermal reservoir; 11. The Gaussian thermostat; 12. The Nos e-Hoover thermostat; 13. Universalities in Gaussian and Nos e-Hoover dynamics?; 14. Gaussian and Nose-Hoover thermostats revisited; 15. Stochastic and deterministic boundary thermostats; 16. Active Brownian particles and Nos e-Hoover dynamics; Part 3: Outlook and conclusions; 17. Further topics in chaotic transport theory; 18. Conclusions BibliographyIndex |
| Record Nr. | UNINA-9910784046803321 |
|
Klages Rainer
|
||
| Hackensack, N.J., : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics [[electronic resource] /] / Rainer Klages
| Microscopic chaos, fractals and transport in nonequilibrium statistical mechanics [[electronic resource] /] / Rainer Klages |
| Autore | Klages Rainer |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina | 530.13 |
| Collana | Advanced series in nonlinear dynamics |
| Soggetto topico |
Nonequilibrium statistical mechanics
Chaotic behavior in systems Transport theory Fractals |
| ISBN |
1-281-12080-4
9786611120801 981-277-151-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction and outline; 1.1 Hamiltonian dynamical systems approach to nonequilibrium statistical mechanics; 1.2 Thermostated dynamical systems approach to nonequilibrium statistical mechanics; 1.3 The red thread through this book; Part 1: Fractal transport coefficients; 2. Deterministic diffusion; 3. Deterministic drift-diffusion; 4. Deterministic reaction-diffusion; 5. Deterministic diffusion and random perturbations; 6. From normal to anomalous diffusion; 7. From diffusive maps to Hamiltonian particle billiards
8. Designing billiards with irregular transport coefficients9. Deterministic diffusion of granular particles; Part 2: Thermostated dynamical systems; 10. Motivation: coupling a system to a thermal reservoir; 11. The Gaussian thermostat; 12. The Nos e-Hoover thermostat; 13. Universalities in Gaussian and Nos e-Hoover dynamics?; 14. Gaussian and Nose-Hoover thermostats revisited; 15. Stochastic and deterministic boundary thermostats; 16. Active Brownian particles and Nos e-Hoover dynamics; Part 3: Outlook and conclusions; 17. Further topics in chaotic transport theory; 18. Conclusions BibliographyIndex |
| Record Nr. | UNINA-9910822026603321 |
|
Klages Rainer
|
||
| Hackensack, N.J., : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiscale analysis of complex time series [[electronic resource] ] : integration of chaos and random fractal theory, and beyond / / Jianbo Gao ... [et al.]
| Multiscale analysis of complex time series [[electronic resource] ] : integration of chaos and random fractal theory, and beyond / / Jianbo Gao ... [et al.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2007 |
| Descrizione fisica | 1 online resource (368 p.) |
| Disciplina |
519.5/5
621.3822 |
| Altri autori (Persone) | GaoJianbo <1966-> |
| Soggetto topico |
Time-series analysis
Chaotic behavior in systems Fractals |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-97446-X
9786610974467 0-470-19165-1 0-470-19164-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Multiscale Analysis of Complex Time Series; CONTENTS; Preface; 1 Introduction; 1.1 Examples of multiscale phenomena; 1.2 Examples of challenging problems to be pursued; 1.3 Outline of the book; 1.4 Bibliographic notes; 2 Overview of fractal and chaos theories; 2.1 Prelude to fractal geometry; 2.2 Prelude to chaos theory; 2.3 Bibliographic notes; 2.4 Warmup exercises; 3 Basics of probability theory and stochastic processes; 3.1 Basic elements of probability theory; 3.1.1 Probability system; 3.1.2 Random variables; 3.1.3 Expectation
3.1.4 Characteristic function, moment generating function, Laplace transform, and probability generating function3.2 Commonly used distributions; 3.3 Stochastic processes; 3.3.1 Basic definitions; 3.3.2 Markov processes; 3.4 Special topic: How to find relevant information for a new field quickly; 3.5 Bibliographic notes; 3.6 Exercises; 4 Fourier analysis and wavelet multiresolution analysis; 4.1 Fourier analysis; 4.1.1 Continuous-time (CT) signals; 4.1.2 Discrete-time (DT) signals; 4.1.3 Sampling theorem; 4.1.4 Discrete Fourier transform; 4.1.5 Fourier analysis of real data 4.2 Wavelet multiresolution analysis4.3 Bibliographic notes; 4.4 Exercises; 5 Basics of fractal geometry; 5.1 The notion of dimension; 5.2 Geometrical fractals; 5.2.1 Cantor sets; 5.2.2 Von Koch curves; 5.3 Power law and perception of self-similarity; 5.4 Bibliographic notes; 5.5 Exercises; 6 Self-similar stochastic processes; 6.1 General definition; 6.2 Brownian motion (Bm); 6.3 Fractional Brownian motion (fBm); 6.4 Dimensions of Bm and fBm processes; 6.5 Wavelet representation of fBm processes; 6.6 Synthesis of fBm processes; 6.7 Applications; 6.7.1 Network traffic modeling 6.7.2 Modeling of rough surfaces6.8 Bibliographic notes; 6.9 Exercises; 7 Stable laws and Levy motions; 7.1 Stable distributions; 7.2 Summation of strictly stable random variables; 7.3 Tail probabilities and extreme events; 7.4 Generalized central limit theorem; 7.5 Levy motions; 7.6 Simulation of stable random variables; 7.7 Bibliographic notes; 7.8 Exercises; 8 Long memory processes and structure-function-based multifractal analysis; 8.1 Long memory: basic definitions; 8.2 Estimation of the Hurst parameter; 8.3 Random walk representation and structure-function-based multifractal analysis 8.3.1 Random walk representation8.3.2 Structure-function-based multifractal analysis; 8.3.3 Understanding the Hurst parameter through multifractal analysis; 8.4 Other random walk-based scaling parameter estimation; 8.5 Other formulations of multifractal analysis; 8.6 The notion of finite scaling and consistency of H estimators; 8.7 Correlation structure of ON/OFF intermittency and Levy motions; 8.7.1 Correlation structure of ON/OFF intermittency; 8.7.2 Correlation structure of Levy motions; 8.8 Dimension reduction of fractal processes using principal component analysis; 8.9 Broad applications 8.9.1 Detection of low observable targets within sea clutter |
| Record Nr. | UNINA-9910143568303321 |
| Hoboken, N.J., : Wiley-Interscience, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiscale analysis of complex time series [[electronic resource] ] : integration of chaos and random fractal theory, and beyond / / Jianbo Gao ... [et al.]
| Multiscale analysis of complex time series [[electronic resource] ] : integration of chaos and random fractal theory, and beyond / / Jianbo Gao ... [et al.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2007 |
| Descrizione fisica | 1 online resource (368 p.) |
| Disciplina |
519.5/5
621.3822 |
| Altri autori (Persone) | GaoJianbo <1966-> |
| Soggetto topico |
Time-series analysis
Chaotic behavior in systems Fractals |
| ISBN |
1-280-97446-X
9786610974467 0-470-19165-1 0-470-19164-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Multiscale Analysis of Complex Time Series; CONTENTS; Preface; 1 Introduction; 1.1 Examples of multiscale phenomena; 1.2 Examples of challenging problems to be pursued; 1.3 Outline of the book; 1.4 Bibliographic notes; 2 Overview of fractal and chaos theories; 2.1 Prelude to fractal geometry; 2.2 Prelude to chaos theory; 2.3 Bibliographic notes; 2.4 Warmup exercises; 3 Basics of probability theory and stochastic processes; 3.1 Basic elements of probability theory; 3.1.1 Probability system; 3.1.2 Random variables; 3.1.3 Expectation
3.1.4 Characteristic function, moment generating function, Laplace transform, and probability generating function3.2 Commonly used distributions; 3.3 Stochastic processes; 3.3.1 Basic definitions; 3.3.2 Markov processes; 3.4 Special topic: How to find relevant information for a new field quickly; 3.5 Bibliographic notes; 3.6 Exercises; 4 Fourier analysis and wavelet multiresolution analysis; 4.1 Fourier analysis; 4.1.1 Continuous-time (CT) signals; 4.1.2 Discrete-time (DT) signals; 4.1.3 Sampling theorem; 4.1.4 Discrete Fourier transform; 4.1.5 Fourier analysis of real data 4.2 Wavelet multiresolution analysis4.3 Bibliographic notes; 4.4 Exercises; 5 Basics of fractal geometry; 5.1 The notion of dimension; 5.2 Geometrical fractals; 5.2.1 Cantor sets; 5.2.2 Von Koch curves; 5.3 Power law and perception of self-similarity; 5.4 Bibliographic notes; 5.5 Exercises; 6 Self-similar stochastic processes; 6.1 General definition; 6.2 Brownian motion (Bm); 6.3 Fractional Brownian motion (fBm); 6.4 Dimensions of Bm and fBm processes; 6.5 Wavelet representation of fBm processes; 6.6 Synthesis of fBm processes; 6.7 Applications; 6.7.1 Network traffic modeling 6.7.2 Modeling of rough surfaces6.8 Bibliographic notes; 6.9 Exercises; 7 Stable laws and Levy motions; 7.1 Stable distributions; 7.2 Summation of strictly stable random variables; 7.3 Tail probabilities and extreme events; 7.4 Generalized central limit theorem; 7.5 Levy motions; 7.6 Simulation of stable random variables; 7.7 Bibliographic notes; 7.8 Exercises; 8 Long memory processes and structure-function-based multifractal analysis; 8.1 Long memory: basic definitions; 8.2 Estimation of the Hurst parameter; 8.3 Random walk representation and structure-function-based multifractal analysis 8.3.1 Random walk representation8.3.2 Structure-function-based multifractal analysis; 8.3.3 Understanding the Hurst parameter through multifractal analysis; 8.4 Other random walk-based scaling parameter estimation; 8.5 Other formulations of multifractal analysis; 8.6 The notion of finite scaling and consistency of H estimators; 8.7 Correlation structure of ON/OFF intermittency and Levy motions; 8.7.1 Correlation structure of ON/OFF intermittency; 8.7.2 Correlation structure of Levy motions; 8.8 Dimension reduction of fractal processes using principal component analysis; 8.9 Broad applications 8.9.1 Detection of low observable targets within sea clutter |
| Record Nr. | UNINA-9910830744303321 |
| Hoboken, N.J., : Wiley-Interscience, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiscale analysis of complex time series [[electronic resource] ] : integration of chaos and random fractal theory, and beyond / / Jianbo Gao ... [et al.]
| Multiscale analysis of complex time series [[electronic resource] ] : integration of chaos and random fractal theory, and beyond / / Jianbo Gao ... [et al.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2007 |
| Descrizione fisica | 1 online resource (368 p.) |
| Disciplina |
519.5/5
621.3822 |
| Altri autori (Persone) | GaoJianbo <1966-> |
| Soggetto topico |
Time-series analysis
Chaotic behavior in systems Fractals |
| ISBN |
1-280-97446-X
9786610974467 0-470-19165-1 0-470-19164-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Multiscale Analysis of Complex Time Series; CONTENTS; Preface; 1 Introduction; 1.1 Examples of multiscale phenomena; 1.2 Examples of challenging problems to be pursued; 1.3 Outline of the book; 1.4 Bibliographic notes; 2 Overview of fractal and chaos theories; 2.1 Prelude to fractal geometry; 2.2 Prelude to chaos theory; 2.3 Bibliographic notes; 2.4 Warmup exercises; 3 Basics of probability theory and stochastic processes; 3.1 Basic elements of probability theory; 3.1.1 Probability system; 3.1.2 Random variables; 3.1.3 Expectation
3.1.4 Characteristic function, moment generating function, Laplace transform, and probability generating function3.2 Commonly used distributions; 3.3 Stochastic processes; 3.3.1 Basic definitions; 3.3.2 Markov processes; 3.4 Special topic: How to find relevant information for a new field quickly; 3.5 Bibliographic notes; 3.6 Exercises; 4 Fourier analysis and wavelet multiresolution analysis; 4.1 Fourier analysis; 4.1.1 Continuous-time (CT) signals; 4.1.2 Discrete-time (DT) signals; 4.1.3 Sampling theorem; 4.1.4 Discrete Fourier transform; 4.1.5 Fourier analysis of real data 4.2 Wavelet multiresolution analysis4.3 Bibliographic notes; 4.4 Exercises; 5 Basics of fractal geometry; 5.1 The notion of dimension; 5.2 Geometrical fractals; 5.2.1 Cantor sets; 5.2.2 Von Koch curves; 5.3 Power law and perception of self-similarity; 5.4 Bibliographic notes; 5.5 Exercises; 6 Self-similar stochastic processes; 6.1 General definition; 6.2 Brownian motion (Bm); 6.3 Fractional Brownian motion (fBm); 6.4 Dimensions of Bm and fBm processes; 6.5 Wavelet representation of fBm processes; 6.6 Synthesis of fBm processes; 6.7 Applications; 6.7.1 Network traffic modeling 6.7.2 Modeling of rough surfaces6.8 Bibliographic notes; 6.9 Exercises; 7 Stable laws and Levy motions; 7.1 Stable distributions; 7.2 Summation of strictly stable random variables; 7.3 Tail probabilities and extreme events; 7.4 Generalized central limit theorem; 7.5 Levy motions; 7.6 Simulation of stable random variables; 7.7 Bibliographic notes; 7.8 Exercises; 8 Long memory processes and structure-function-based multifractal analysis; 8.1 Long memory: basic definitions; 8.2 Estimation of the Hurst parameter; 8.3 Random walk representation and structure-function-based multifractal analysis 8.3.1 Random walk representation8.3.2 Structure-function-based multifractal analysis; 8.3.3 Understanding the Hurst parameter through multifractal analysis; 8.4 Other random walk-based scaling parameter estimation; 8.5 Other formulations of multifractal analysis; 8.6 The notion of finite scaling and consistency of H estimators; 8.7 Correlation structure of ON/OFF intermittency and Levy motions; 8.7.1 Correlation structure of ON/OFF intermittency; 8.7.2 Correlation structure of Levy motions; 8.8 Dimension reduction of fractal processes using principal component analysis; 8.9 Broad applications 8.9.1 Detection of low observable targets within sea clutter |
| Record Nr. | UNINA-9910841058903321 |
| Hoboken, N.J., : Wiley-Interscience, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The nature and power of mathematics / Donald M. Davis
| The nature and power of mathematics / Donald M. Davis |
| Autore | Davis, Donald M. |
| Pubbl/distr/stampa | Princeton, N.J. : Princeton Univ. Press, c1993 |
| Descrizione fisica | xi, 389 p., [4] p. of plates : ill. (some col.), maps ; 25 cm. |
| Disciplina | 510 |
| Soggetto topico |
Cryptography
Fractals Non-Euclidean geometry Number theory |
| ISBN | 0691025622 |
| Classificazione |
AMS 00A06
QA685.D25 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | en |
| Record Nr. | UNISALENTO-991001164109707536 |
|
Davis, Donald M.
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| Princeton, N.J. : Princeton Univ. Press, c1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Paradigms of complexity : fractals and structures in the sciences / / editor, Miroslav M. Novak
| Paradigms of complexity : fractals and structures in the sciences / / editor, Miroslav M. Novak |
| Pubbl/distr/stampa | Singapore : , : World Scientific, , 2000 |
| Descrizione fisica | 1 online resource (322 pages) |
| Disciplina | 514.742 |
| Soggetto topico |
Fractals
Chaotic behavior in systems |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910155544403321 |
| Singapore : , : World Scientific, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Physics and fractal structures / Jean-Francois Gouyet ; foreword by Benoît Mandelbrot
| Physics and fractal structures / Jean-Francois Gouyet ; foreword by Benoît Mandelbrot |
| Autore | Gouyet, Jean-François |
| Pubbl/distr/stampa | Paris : Masson ; New York : Springer, c1996 |
| Descrizione fisica | xiv, 234 p., [4] p. of col. plates : ill. ; 24 cm. |
| Disciplina | 515.42 |
| Soggetto topico |
Fractals
Mathematical physics |
| ISBN |
0387941533 (Springer)
2225851301 (Masson) |
| Classificazione |
AMS 28A80
AMS 58F |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001230009707536 |
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Gouyet, Jean-François
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| Paris : Masson ; New York : Springer, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Random geometrically graph directed self-similar multifractals / Lars Olsen
| Random geometrically graph directed self-similar multifractals / Lars Olsen |
| Autore | Olsen, Lars |
| Pubbl/distr/stampa | Harlow : Longman Scientific & Technical ; New York : John Wiley, 1994 |
| Descrizione fisica | xv, 245 p. : ill. ; 25 cm. |
| Disciplina | 514.74 |
| Collana | Pitman research notes in mathematics series, ISSN 02693674 ; 307 |
| Soggetto topico |
Fractals
Random measure |
| ISBN | 0582253810 |
| Classificazione |
AMS 28A80
QA614.86.047 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001282859707536 |
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Olsen, Lars
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| Harlow : Longman Scientific & Technical ; New York : John Wiley, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Soggetto topico
-
Fractals
(181)
- Chaotic behavior in systems (31)
- Dynamics (9)
- Wavelets (Mathematics) (9)
- Stochastic processes (7)