Screen LibraryUniversal fluctuations : the phenomenology of hadronic matter /
The main purpose of this book is to present, in a comprehensive and progressive way, the appearance of universal limit probability laws in physics, and their connection with the recently developed scaling theory of fluctuations. Arising from the probability theory and renormalization group methods,...
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| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; River Edge, N.J. : |
| Publication Dates: | 2002. |
| Literature type: | eBook |
| Language: | English |
| Series: |
World Scientific lecture notes in physics ;
v. 65 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/4916#t=toc |
| Summary: |
The main purpose of this book is to present, in a comprehensive and progressive way, the appearance of universal limit probability laws in physics, and their connection with the recently developed scaling theory of fluctuations. Arising from the probability theory and renormalization group methods, this novel approach has been proved recently to provide efficient investigative tools for the collective features that occur in any finite system. The mathematical background is self-contained and is formulated in terms which are easy to apply to the physical context. After illustrating the proble |
| Carrier Form: | 1 online resource (xix,369pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 349-362) and index. |
| ISBN: | 9789812777799 |
| CLC: | O572.3 |
| Contents: | ch. 1. Introduction -- ch. 2. Central limit theorem and stable laws. 2.1. Central limit theorem for broad distributions. 2.2. Stable laws for sum of uncorrelated variables. 2.3. Limit theorems for more complicated combinations of uncorrelated variables. 2.4. Two examples of physical applications -- ch. 3. Stable laws for correlated variables. 3.1. Weakly and strongly correlated random variables. 3.2. Dyson s hierarchical model. 3.3. The renormalization group. 3.4. Self-similar probability distributions. 3.5. Critical systems -- ch. 4. Diffusion problems. 4.1. Brownian motion. 4.2. Random wal |