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arxiv: 1406.7500 · v1 · pith:IRYJH3KKnew · submitted 2014-06-29 · 🧮 math-ph · math.MP

Some Fractional and Multifractional Gaussian Processes: A Brief Introduction

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keywords fractionalprocessesmotionmultifractionalbriefbrowniangaussianintroduction
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This paper gives a brief introduction to some important fractional and multifractional Gaussian processes commonly used in modelling natural phenomena and man-made systems. The processes include fractional Brownian motion (both standard and the Riemann-Liouville type), multifractional Brownian motion, fractional and multifrac- tional Ornstein-Uhlenbeck processes, fractional and mutifractional Reisz-Bessel motion. Possible applications of these processes are briefly mentioned.

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