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This section discusses a one-dimensional random walk model using a falling ball system with N levels. At each level, the ball moves either right or left with probabilities p and q=1-p. The final position XN after N steps is calculated as the sum of the direction σj at each step. For an unbiased system with p=q=1/2, the probability distribution of XN becomes Gaussian in the limit of large N.

Author

林晨

Language

EN