| Description |
1 online resource (xix, 369 pages) : illustrations |
| Series |
World Scientific lecture notes in physics ; v. 65 |
|
World Scientific lecture notes in physics ; v. 65
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| Contents |
Machine generated contents note: 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. renormalization group -- 3.4. Self-similar probability distributions -- 3.5. Critical systems -- Ch. 4 Diffusion Problems -- 4.1. Brownian motion -- 4.2. Random walks -- 4.3. Random walks with memory -- 4.4. Random walk as a critical phenomenon -- 4.5. Random walk as a self-similar process -- Ch. 5 Poisson-Transform Distributions -- 5.1. class of poisson transforms -- 5.2. Pascal distribution -- 5.3 |
| 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 problem of anomalous diffusion, the book reviews recent advances in nuclear and high energy physics, where the limit laws are now recognized as being able to classify different phases of a system undergoing the pseudo-critical behaviour. A new description of the hadronic matter in terms of the fluctuation scaling is appearing as a consequence of this approach |
| Bibliography |
Includes bibliographical references (pages 349-362) and index |
| Notes |
Print version record |
| Subject |
Hadrons.
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Phenomenological theory (Physics)
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SCIENCE -- Physics -- Nuclear.
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SCIENCE -- Physics -- Atomic & Molecular.
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Hadrons
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Phenomenological theory (Physics)
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Partículas (física nuclear)
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| Form |
Electronic book
|
| Author |
Ploszajczak, M. (Marek)
|
| ISBN |
9789812777799 |
|
9812777792 |
|
9789810248987 |
|
9810248989 |
|
9789810249236 |
|
9810249233 |
|
