From Wikipedia, the free encyclopedia

2D Random Walk

Voting period is over. Please don't add any new votes. Voting period ends on 25 Jan 2011 at 00:15:11 (UTC)

Original - Two dimensional random walk for one particle on a 400 by 400 lattice. One million steps shown at 1500 steps per second: at each step, the particle randomly moves to any position in its Moore neighbourhood. The lattice has toroidal boundary conditions (i.e. going off one edge reappears on the opposite edge). The path traced by the particle slowly fades out. In the scaling limit, random walk approaches the Wiener process according to Donsker's theorem.
Reason
This is, in my opinion, the best media on Wikipedia demonstrating 2D random walk and its similarity to Brownian motion. Moreover, it is highly intriguing to look at.
Articles in which this image appears
Random walk; Brownian motion; Scaling limit.
FP category for this image
Wikipedia:Featured_pictures/Sciences/Mathematics
Creator
Purpy Pupple

Not Promoted -- Makeemlighter ( talk) 02:33, 25 January 2011 (UTC) reply

From Wikipedia, the free encyclopedia

2D Random Walk

Voting period is over. Please don't add any new votes. Voting period ends on 25 Jan 2011 at 00:15:11 (UTC)

Original - Two dimensional random walk for one particle on a 400 by 400 lattice. One million steps shown at 1500 steps per second: at each step, the particle randomly moves to any position in its Moore neighbourhood. The lattice has toroidal boundary conditions (i.e. going off one edge reappears on the opposite edge). The path traced by the particle slowly fades out. In the scaling limit, random walk approaches the Wiener process according to Donsker's theorem.
Reason
This is, in my opinion, the best media on Wikipedia demonstrating 2D random walk and its similarity to Brownian motion. Moreover, it is highly intriguing to look at.
Articles in which this image appears
Random walk; Brownian motion; Scaling limit.
FP category for this image
Wikipedia:Featured_pictures/Sciences/Mathematics
Creator
Purpy Pupple

Not Promoted -- Makeemlighter ( talk) 02:33, 25 January 2011 (UTC) reply


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