Brownian trajectory

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• Fractional Brownian motion — A normalized fractional Brownian motion (denoted fBm) B^H(t) on [0,T] , Tin mathbb{R} is a continuous time Gaussian process starting at zero, with mean zero, and having the following correlation function::E [B^H(t) B^H(s)] =frac{1}{2}… …   Wikipedia

• Random walk — A random walk, sometimes denoted RW, is a mathematical formalization of a trajectory that consists of taking successive random steps. The results of random walk analysis have been applied to computer science, physics, ecology, economics and a… …   Wikipedia

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• Martingale (probability theory) — For the martingale betting strategy , see martingale (betting system). Stopped Brownian motion is an example of a martingale. It can be used to model an even coin toss betting game with the possibility of bankruptcy. In probability theory, a… …   Wikipedia

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• Heat equation — The heat equation is an important partial differential equation which describes the distribution of heat (or variation in temperature) in a given region over time. For a function of three spatial variables ( x , y , z ) and one time variable t ,… …   Wikipedia