Screen LibraryPhysiology, promiscuity, and prophecy at the millennium : a tale of tails /
This book concerns the development of a theory of complex phenomena; using such concepts as fractals; chaos; and fractional derivatives; but; most important; the idea of an allometric control process is developed. In summary the theory attempts to explain why the distribution in the intensity of war...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore : |
| Publication Dates: | 1999. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Studies of nonlinear phenomena in life sciences ;
v. 7 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/4069#t=toc |
| Summary: |
This book concerns the development of a theory of complex phenomena; using such concepts as fractals; chaos; and fractional derivatives; but; most important; the idea of an allometric control process is developed. In summary the theory attempts to explain why the distribution in the intensity of wars is the same as the relative frequency of the number of words used in languages and the number of species evolved over time from one or a few remote ancestors. The theory also describes the similarity in the variability of the number of births to teens in Texas to the number of sexual partners in homosexual liaisons. The data in both of the aforementioned categories are shown to have long-term memory; and it is this memory that also gives rise to inverse power laws in such physiological phenomena as the interbeat interval distribution of the human heart; the interstride interval distribution in the human gait; and memory in DNA sequences. |
| Carrier Form: | 1 online resource (vii,443pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 414-427) and index. |
| ISBN: |
9789812815361 9812815368 |
| CLC: | G201 |
| Contents: | 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. |