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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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Botet, R.
Other Authors: Ploszajczak, M. (Marek)
Format: Electronic eBook
Language:Inglés
Published: River Edge, NJ : World Scientific, ©2002.
Series:World Scientific lecture notes in physics ; v. 65.
Subjects:
Online Access:Texto completo
Table of 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.