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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...

This volume contains pedagogical, review and research level papers on fractional stochastic and quantum processes which have been the focus of intensive mathematical, experimental, and computational studies due to their widening spectrum of applications in natural and social sciences. Novel vis-à-vis standard approaches in fractional stochastic analysis are presented together with experimental and theoretical highlights in applications to single particle tracking, organic semiconductors, polymer structure, complex systems, and finance, among others.