Universal fluctuations : the phenomenology of hadronic matter / Robert Botet, Marek Poszajczak.

Format:

Book

Author/Creator:

Botet, R.

Contributor:

Ploszajczak, M. (Marek)

Series:

World Scientific lecture notes in physics ; v. 65.

World Scientific lecture notes in physics ; v. 65

Language:

English

Subjects (All):

Hadrons.

Phenomenological theory (Physics).

Physical Description:

1 online resource (392 p.)

Edition:

1st ed.

Place of Publication:

River Edge, NJ : World Scientific, c2002.

Language Note:

English

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

Contents:

Contents ; Preface ; Chapter 1 Introduction ; Chapter 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 Chapter 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

Chapter 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 ; Chapter 5 Poisson-Transform Distributions ; 5.1 The class of Poisson transforms ; 5.2 Pascal distribution

5.3 Stacy distribution 5.4 Other examples of integral transforms ; 5.5 KNO scaling limit ; Chapter 6 Featuring the Correlations ; 6.1 Moments and their generating function ; 6.2 Some tools specific to the moment generating functions ; 6.4 Infinitely divisible distribution functions

6.5 Composite distributions 6.6 More about the Pascal distribution; Chapter 7 Exclusive and Inclusive Densities ; 7.1 Generalities and variables ; 7.2 Cumulant correlation functions ; 7.3 Scaled factorial moments ; 7.4 Scaled factorial correlators and bin-split moments ; 7.5 Scaled factorial cumulants

7.6 Linked structure of the correlations

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 349-362) and index.

ISBN:

9789812777799

9812777792

OCLC:

879023989