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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Botet, R.
Otros Autores: Ploszajczak, M. (Marek)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, NJ : World Scientific, ©2002.
Colección:World Scientific lecture notes in physics ; v. 65.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.