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.
Contents: Central Limit Theorem and Stable LawsStable Laws for Correlated VariablesDiffusion ProblemsPoisson–Transform DistributionsFeaturing the CorrelationsExclusive and Inclusive DensitiesBose–Einstein Correlations in Nuclear and Particle PhysicsRandom Multiplicative CascadesRandom Cascades with Short-Scale DissipationFluctuations of the Order ParameterUniversal Fluctuations in Nuclear and Particle PhysicsFinal Remarks
Readership: Graduate students and researchers in critical phenomena, nuclear and high energy physics.
Keywords:Reviews:“… the content of the book is much richer than simple applications in nuclear physics and in high-energy physics. It contains a well-written introduction into general fluctuation theory via probability distribution …”Zentralblatt MATH
The text has been substantially revised from the first edition, and the authors have kept the format as close as possible to the first edition text. The new developments covered in this book include a more comphrensive coverage of the fundamentals not covered in the first edition or other books in the field, the advances in hardware and software since the first edition was published, and current examples of application of electron backscatter diffraction to solve challenging problems in materials science and condensed-matter physics.