Processes with long range correlations occur in a wide variety of fields ranging from physics and biology to economics and finance. This book, suitable for both graduate students and specialists, brings the reader up to date on this rapidly developing field. A distinguished group of experts have been brought together to provide a comprehensive and well-balanced account of basic notions and recent developments. The book is divided into two parts. The first part deals with theoretical developments in the area. The second part comprises chapters dealing primarily with three major areas of application: anomalous diffusion, economics and finance, and biology (especially neuroscience).

Theory

Prediction of Long-Memory Time Series: A Tutorial Review
Fractional Brownian Motion and Fractional Gaussian Noise
Scaling and Wavelets: An Introductory Walk
Wavelet Estimation for the Hurst Parameter in Stable Processes
From Stationarity to Self-similarity, and Back: Variations on the Lamperti Transformation
Fractal Sums of Pulses and a Practical Challenge to the Distinction Between Local and Global Dependence
Applications
Supra-diffusion
Fractional diffusion Processes: Probability Distributions and Continuous Time Random Walk
First Passage Distributions for Long Memory Processes
Non-Gaussian Statistics and Anomalous diffusion in Porous Media
Directed Transport in AC-Driven Hamiltonian Systems
Patterns and Correlations in Economic Phenomena Uncovered Using Concepts of Statistical Physics
Semiparametric Modeling of Stochastic and Deterministic Trends and Fractional Stationarity
Interaction Models for Common Long-Range Dependence in Asset Prices Volatility
Long Memory and Economic Growth in the World Economy Since the 19th Century
Correlations and Memory in Neurodynamical Systems
Long Range Dependence in Human Sensorimotor Coordination
Scaling and Criticality in Large-Scale Neuronal Activity
Long-Range Dependence in Heartbeat Dynamics
Multifractals: From Modeling to Control of Broadband Network Traffic.