Wiegel, FW (1984) Distribution of the angle of rotation plane random walks. In: Physica A: Statistical and Theoretical Physics, 129 (1). pp. 211-219.
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We study the probability distribution of the angle by which the tangent to the trajectory rotates in the course of a plane random walk. It is shown that the determination of this distribution function can be reduced to an integral equation, which can be rigorously transformed into a differential equation of Hill's type. We derive the asymptotic distribution for very long walks.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Elsevier Science.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Centre for Theoretical Studies|
|Date Deposited:||10 Aug 2009 09:53|
|Last Modified:||19 Sep 2010 05:40|
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