Universal 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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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
River Edge, NJ :
World Scientific,
©2002.
|
Schriftenreihe: | World Scientific lecture notes in physics ;
v. 65. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | 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. |
Beschreibung: | 1 online resource (xix, 369 pages) : illustrations |
Bibliographie: | Includes bibliographical references (pages 349-362) and index. |
ISBN: | 9789812777799 9812777792 9789810248987 9810248989 9789810249236 9810249233 |
Internformat
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245 | 1 | 0 | |a Universal fluctuations : |b the phenomenology of hadronic matter / |c Robert Botet, Marek Płoszajczak. |
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490 | 1 | |a World Scientific lecture notes in physics ; |v v. 65 | |
504 | |a Includes bibliographical references (pages 349-362) and index. | ||
588 | 0 | |a Print version record. | |
505 | 0 | 0 | |g Machine generated contents note: |g Ch. 1 |t Introduction -- |g Ch. 2 |t Central Limit Theorem and Stable Laws -- |g 2.1. |t Central limit theorem for broad distributions -- |g 2.2. |t Stable laws for sum of uncorrelated variables -- |g 2.3. |t Limit theorems for more complicated combinations of uncorrelated variables -- |g 2.4. |t Two examples of physical applications -- |g Ch. 3 |t Stable Laws for Correlated Variables -- |g 3.1. |t Weakly and strongly correlated random variables -- |g 3.2. |t Dyson's hierarchical model -- |g 3.3. |t renormalization group -- |g 3.4. |t Self-similar probability distributions -- |g 3.5. |t Critical systems -- |g Ch. 4 |t Diffusion Problems -- |g 4.1. |t Brownian motion -- |g 4.2. |t Random walks -- |g 4.3. |t Random walks with memory -- |g 4.4. |t Random walk as a critical phenomenon -- |g 4.5. |t Random walk as a self-similar process -- |g Ch. 5 |t Poisson-Transform Distributions -- |g 5.1. |t class of poisson transforms -- |g 5.2. |t Pascal distribution -- |g 5.3. |
520 | |a 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. | ||
650 | 0 | |a Hadrons. |0 http://id.loc.gov/authorities/subjects/sh85058212 | |
650 | 0 | |a Phenomenological theory (Physics) |0 http://id.loc.gov/authorities/subjects/sh85100682 | |
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DE-BY-FWS_katkey | ZDB-4-EBA-ocn277199768 |
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adam_text | |
any_adam_object | |
author | Botet, R. |
author2 | Ploszajczak, M. (Marek) |
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author_GND | http://id.loc.gov/authorities/names/n88064637 |
author_facet | Botet, R. Ploszajczak, M. (Marek) |
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contents | Introduction -- Central Limit Theorem and Stable Laws -- Central limit theorem for broad distributions -- Stable laws for sum of uncorrelated variables -- Limit theorems for more complicated combinations of uncorrelated variables -- Two examples of physical applications -- Stable Laws for Correlated Variables -- Weakly and strongly correlated random variables -- Dyson's hierarchical model -- renormalization group -- Self-similar probability distributions -- Critical systems -- Diffusion Problems -- Brownian motion -- Random walks -- Random walks with memory -- Random walk as a critical phenomenon -- Random walk as a self-similar process -- Poisson-Transform Distributions -- class of poisson transforms -- Pascal distribution -- |
ctrlnum | (OCoLC)277199768 |
dewey-full | 539.7/216 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 539 - Modern physics |
dewey-raw | 539.7/216 |
dewey-search | 539.7/216 |
dewey-sort | 3539.7 3216 |
dewey-tens | 530 - Physics |
discipline | Physik |
format | Electronic eBook |
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illustrated | Illustrated |
indexdate | 2024-11-27T13:16:34Z |
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publisher | World Scientific, |
record_format | marc |
series | World Scientific lecture notes in physics ; |
series2 | World Scientific lecture notes in physics ; |
spelling | Botet, R. Universal fluctuations : the phenomenology of hadronic matter / Robert Botet, Marek Płoszajczak. River Edge, NJ : World Scientific, ©2002. 1 online resource (xix, 369 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific lecture notes in physics ; v. 65 Includes bibliographical references (pages 349-362) and index. Print version record. 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. 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. Hadrons. http://id.loc.gov/authorities/subjects/sh85058212 Phenomenological theory (Physics) http://id.loc.gov/authorities/subjects/sh85100682 Hadrons. Théorie phénoménologique (Physique) SCIENCE Physics Nuclear. bisacsh SCIENCE Physics Atomic & Molecular. bisacsh Hadrons fast Phenomenological theory (Physics) fast Partículas (física nuclear) larpcal Ploszajczak, M. (Marek) http://id.loc.gov/authorities/names/n88064637 Print version: Botet, R. Universal fluctuations. River Edge, NJ : World Scientific, ©2002 9810248989 9789810248987 (DLC) 2002726697 (OCoLC)50743819 World Scientific lecture notes in physics ; v. 65. http://id.loc.gov/authorities/names/n84715132 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210711 Volltext |
spellingShingle | Botet, R. Universal fluctuations : the phenomenology of hadronic matter / World Scientific lecture notes in physics ; Introduction -- Central Limit Theorem and Stable Laws -- Central limit theorem for broad distributions -- Stable laws for sum of uncorrelated variables -- Limit theorems for more complicated combinations of uncorrelated variables -- Two examples of physical applications -- Stable Laws for Correlated Variables -- Weakly and strongly correlated random variables -- Dyson's hierarchical model -- renormalization group -- Self-similar probability distributions -- Critical systems -- Diffusion Problems -- Brownian motion -- Random walks -- Random walks with memory -- Random walk as a critical phenomenon -- Random walk as a self-similar process -- Poisson-Transform Distributions -- class of poisson transforms -- Pascal distribution -- Hadrons. http://id.loc.gov/authorities/subjects/sh85058212 Phenomenological theory (Physics) http://id.loc.gov/authorities/subjects/sh85100682 Hadrons. Théorie phénoménologique (Physique) SCIENCE Physics Nuclear. bisacsh SCIENCE Physics Atomic & Molecular. bisacsh Hadrons fast Phenomenological theory (Physics) fast Partículas (física nuclear) larpcal |
subject_GND | http://id.loc.gov/authorities/subjects/sh85058212 http://id.loc.gov/authorities/subjects/sh85100682 |
title | Universal fluctuations : the phenomenology of hadronic matter / |
title_alt | Introduction -- Central Limit Theorem and Stable Laws -- Central limit theorem for broad distributions -- Stable laws for sum of uncorrelated variables -- Limit theorems for more complicated combinations of uncorrelated variables -- Two examples of physical applications -- Stable Laws for Correlated Variables -- Weakly and strongly correlated random variables -- Dyson's hierarchical model -- renormalization group -- Self-similar probability distributions -- Critical systems -- Diffusion Problems -- Brownian motion -- Random walks -- Random walks with memory -- Random walk as a critical phenomenon -- Random walk as a self-similar process -- Poisson-Transform Distributions -- class of poisson transforms -- Pascal distribution -- |
title_auth | Universal fluctuations : the phenomenology of hadronic matter / |
title_exact_search | Universal fluctuations : the phenomenology of hadronic matter / |
title_full | Universal fluctuations : the phenomenology of hadronic matter / Robert Botet, Marek Płoszajczak. |
title_fullStr | Universal fluctuations : the phenomenology of hadronic matter / Robert Botet, Marek Płoszajczak. |
title_full_unstemmed | Universal fluctuations : the phenomenology of hadronic matter / Robert Botet, Marek Płoszajczak. |
title_short | Universal fluctuations : |
title_sort | universal fluctuations the phenomenology of hadronic matter |
title_sub | the phenomenology of hadronic matter / |
topic | Hadrons. http://id.loc.gov/authorities/subjects/sh85058212 Phenomenological theory (Physics) http://id.loc.gov/authorities/subjects/sh85100682 Hadrons. Théorie phénoménologique (Physique) SCIENCE Physics Nuclear. bisacsh SCIENCE Physics Atomic & Molecular. bisacsh Hadrons fast Phenomenological theory (Physics) fast Partículas (física nuclear) larpcal |
topic_facet | Hadrons. Phenomenological theory (Physics) Théorie phénoménologique (Physique) SCIENCE Physics Nuclear. SCIENCE Physics Atomic & Molecular. Hadrons Partículas (física nuclear) |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210711 |
work_keys_str_mv | AT botetr universalfluctuationsthephenomenologyofhadronicmatter AT ploszajczakm universalfluctuationsthephenomenologyofhadronicmatter |