Methods And Applications Of White Noise Analysis In Interdisciplinary Sciences
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A01=Christopher C Bernido
A01=Maria Victoria Carpio-bernido
Author_Christopher C Bernido
Author_Maria Victoria Carpio-bernido
Biopolymers
Category=PBWH
Complex Systems
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fluctuation With Memory
Fractional Brownian Motion
Neurophysics
Path Integral
Quantum Systems
Time Series Analysis
White Noise Analysis
Product details
- ISBN 9789814569118
- Publication Date: 30 Jan 2015
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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Analysis, modeling, and simulation for better understanding of diverse complex natural and social phenomena often require powerful tools and analytical methods. Tractable approaches, however, can be developed with mathematics beyond the common toolbox. This book presents the white noise stochastic calculus, originated by T Hida, as a novel and powerful tool in investigating physical and social systems. The calculus, when combined with Feynman's summation-over-all-histories, has opened new avenues for resolving cross-disciplinary problems. Applications to real-world complex phenomena are further enhanced by parametrizing non-Markovian evolution of a system with various types of memory functions. This book presents general methods and applications to problems encountered in complex systems, scaling in industry, neuroscience, polymer physics, biophysics, time series analysis, relativistic and nonrelativistic quantum systems.
