The concept of varying-time dimension is presented and the original fractional Brownian motion model is extended to be a locally self-similarity stochastic process.

提出了时变维数的概念，对原有分数布朗运动模型加以拓展，使其成为具有局部自相似性的随机过程。

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Fractional Gaussian Noise (FGN) is the increment process of fractional Brownian motion, they are widely used in modelling self-similar process.

分形高斯噪声fgn是分形布朗运动的增量过程，广泛应用于自相似过程的建模分析。

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Thesis shows that the insulator surface pollution process has matter with Brownian motion, the air drag force, turbulent diffusion, gravity.

论文研究表明，绝缘子表面积污过程与布朗运动、气流曳力、湍流扩散、重力自沉降有关。

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Investors putting in buy and sell calls should then act a bit like particles in a glass of milk, which remain suspended because they are constantly bustling into one another in a process known as Brownian motion.

FORBES: Mandelbrot: A Math Maverick Takes Stock