| Preface | |
| Introduction | p. 1 |
| Central Limit Theorem and Stable Laws | p. 7 |
| Central limit theorem for broad distributions | p. 8 |
| Stable laws for sum of uncorrelated variables | p. 13 |
| Limit theorems for more complicated combinations of uncorrelated variables | p. 30 |
| Two examples of physical applications | p. 39 |
| Stable Laws for Correlated Variables | p. 45 |
| Weakly and strongly correlated random variables | p. 46 |
| Dyson's hierarchical model | p. 51 |
| The renormalization group | p. 54 |
| Self-similar probability distributions | p. 61 |
| Critical systems | p. 66 |
| Diffusion Problems | p. 75 |
| Brownian motion | p. 75 |
| Random walks | p. 81 |
| Random walks with memory | p. 97 |
| Random walk as a critical phenomenon | p. 106 |
| Random walk as a self-similar process | p. 109 |
| Poisson-Transform Distributions | p. 113 |
| The class of poisson transforms | p. 114 |
| Pascal distribution | p. 120 |
| Stacy distribution | p. 127 |
| Other examples of integral transforms | p. 135 |
| KNO scaling limit | p. 135 |
| Featuring the Correlations | p. 139 |
| Moments and their generating function | p. 139 |
| Some tools specific to the generating functions | p. 145 |
| One example: the poisson distribution | p. 148 |
| Composite distributions | p. 153 |
| More about the pascal distribution | p. 158 |
| Exclusive and Inclusive Densities | p. 163 |
| Generalities and variables | p. 163 |
| Cumulant correlation functions | p. 166 |
| Scaled factorial moments | p. 168 |
| Scaled factorial correlators and bin-split moments | p. 176 |
| Scaled factorial cumulants | p. 178 |
| Linked structure of the correlations | p. 183 |
| Erraticity concept | p. 189 |
| Bose-Einstein Correlations in Nuclear and Particle Physics | p. 199 |
| Basic features of bose-einstein quantum statistical correlations | p. 200 |
| Parametrization of the HBT data | p. 202 |
| Bose-Einstein interference in models | p. 208 |
| Idealized picture of independent particle production | p. 209 |
| Bose-Einstein correlations in high-energy collisions | p. 214 |
| Random Multiplicative Cascades | p. 221 |
| Multiplicative cascade models | p. 222 |
| Multifractals and intermittency | p. 227 |
| Correlations in random cascading | p. 229 |
| Non-ideal random cascades: the cut-off effect | p. 239 |
| QCD cascade | p. 245 |
| Random Cascades with Short-Scale Dissipation | p. 251 |
| Basic features of the fragmentation-inactivation binary model | p. 254 |
| Various approaches to the fragmentation-inactivation binary model | p. 257 |
| Moment analysis of the fragmentation-inactivation binary equations | p. 261 |
| Binary cascading with scale-dependent inactivation mechanism | p. 271 |
| Perturbative quantum chromodynamics including inactivation mechanism | p. 277 |
| Phenomenology of the multiplicity distributions in e[superscript +]e[superscript -] reactions | p. 281 |
| Fluctuations of the Order Parameter | p. 285 |
| Order parameter fluctuations in self-similar systems | p. 286 |
| Example of the non-critical model | p. 290 |
| Mean-field critical model: the Landau-Ginzburg model | p. 293 |
| Example of the critical model: the potts model | p. 297 |
| Reversible aggregation: example of the percolation model | p. 300 |
| Irreversible aggregation: example of the smoluchowski kinetic model | p. 308 |
| Off-equilibrium fragmentation | p. 317 |
| Universal Fluctuations in Nuclear and Particle Physics | p. 321 |
| Phenomenology of high energy collisions in the scaled factorial moments analysis | p. 322 |
| [Delta]-scaling in [actual symbol not reproducible] collisions? | p. 330 |
| Universal fluctuations in excited nuclear matter | p. 335 |
| Final Remarks | p. 345 |
| Bibliography | p. 349 |
| Index | p. 363 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
