Processes with Long-Range Correlations

Theory and Applications
1. Auflage. Softcover version of original hardcover Auflage 2003
ISBN: 978-3-642-07267-3
Verlag: Springer

Buch, Englisch, Band 621, 398 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 628 g

Reihe: Lecture Notes in Physics

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).

Zielgruppe

Research

Autoren/Hrsg.

Ding, Mingzhou

Rangarajan, Govindan

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Naturwissenschaften Physik Physik Allgemein Experimentalphysik
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Klinische und Innere Medizin Neurologie, Klinische Neurowissenschaft
• Naturwissenschaften Biowissenschaften Biowissenschaften Neurobiologie, Verhaltensbiologie
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie

Inhaltsverzeichnis

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.