Random Walk
A random process consisting of a sequence of discrete steps of fixed length. The random thermal perturbations in a liquid are responsible for a random walk phenomenon known as Brownian motion, and the collisions of molecules in a gas are a random walk responsible for diffusion. Random walks have interesting mathematical properties that vary greatly depending on the dimension in which the walk occurs and whether it is confined to a lattice.
SEE ALSO: Galton Board,
Markov Chain,
Martingale,
Percolation
Theory,
Random Walk--1-Dimensional,
Random Walk--2-Dimensional,
Random
Walk--3-Dimensional,
Self-Avoiding Walk,
Self-Avoiding Walk Connective
Constant
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University Press, 1995.
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Oxford University Press, 1996.
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1994.
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Referenced on Wolfram|Alpha:
Random Walk
CITE THIS AS:
Weisstein, Eric W. "Random Walk." From
MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/RandomWalk.html