Analytical Expression of the Expectation of a Scale Dependent "Length" of a Path of Brownian Motion with Drift

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概要

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• The expected path "length" and its associated d.f.d. (differential fractal dimension) are analytically calculated for the Brownian motion with drift as functions of a scale parameter. These expressions give precise pictures how the transition of the d.f.d. from 2 to 1 occurs in a fractal phenomenon.

• 理論物理学刊行会の論文
• 1989-09-25

著者

• Kishimoto Kazuo

  Institute Of Socio-economic Planning University Of Tsukuba

• KISHIMOTO Kazuo

  Institute of Socio-Economic Planning, University of Tsukuba

関連論文

• Analytical Expression of the Expectation of a Scale Dependent "Length" of a Path of Brownian Motion with Drift

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