Lecture 1. A tale of uncertain knowledge -- Lecture 2. Systems perspective of complexity -- Lecture 3. Fractal random processes -- Lecture 4. Modeling random time series -- Lecture 5. On chance and necessity -- Lecture 6. Averages and expected values -- Lecture 7. Variances and correlations -- Lecture 8. Power laws, dimensional analysis and scaling -- Lecture 9. Bernoulli and memory -- Lecture 10. Simple random walks and diffusion -- Lecture 11. Scaling, geometry and memory -- Lecture 12. Inverse power-law distributions -- Lecture 13. Fractal random walks -- Lecture 14. Levy distributions and scaling -- Lecture 15. Inverse power-law correlations -- Lecture 16. Ensembles, signals and noise -- Lecture 17. Spectra and noise -- Lecture 18. Generalized Weierstrass function -- Lecture 19. How certain can you be? -- Lecture 20. Scaling in aggregated data sets -- Lecture 21. Linear regression -- Lecture 22. Auto regressive integrated moving average (ARIMA) -- Lecture 23. Fractional differences and inverse power laws -- Lecture 24. Haphazard human heart -- Lecture 25. Willy-nilly walking -- Lecture 26. Gamboling genes -- Lecture 27. Scaling sexual schemes -- Lecture 28. The nonlinear perspective -- Lecture 29. Dynamics and geometry -- Lecture 30. Mapping and chaos -- Lecture 31. Memory and intermittency -- Lecture 32. Intermittency and levy statistics -- Lecture 33. Strange dynamics -- Lecture 34. Art and teen births -- Lecture 35. Brown versus Weierstrass -- Lecture 36. Fractional operations -- Lecture 37. Fractional calculus model of creep -- Lecture 38. Fractional relaxation -- Lecture 39. Fractional Langevin equation -- Lecture 40. Fractional diffusion equation -- Lecture 41. The end of our tale
| ISBN-13: | 9789810238353 |
| ISBN-10: | 9810238355 |
| Publisher: | World Scientific |
| Publication date: | 1999 |
| Pages: | 443 |
| Product dimensions: | Height: 9.09 Inches, Length: 6.35 Inches, Weight: 1.68 Pounds, Width: 1.18 Inches |
| Author: | Bruce J. West |
| Language: | en |
| Binding: | Hardcover |