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Problem 3.35. Random walk Suppose that a random walker takes n steps to the right and n' steps to the left for a total of N steps. Each step is of equal length a and the probability of a step to the right is p. Denote à as the net displacement of a walker after N steps. What is the mean value for an N-step random walk? What is the N dependence of the variance (Ax)²?

Problem 3.35. Random walk Suppose that a random walker takes n steps to the right and n' steps to the left for a total of N steps. Each step is of equal length a and the probability of a step to the right is p. Denote à as the net displacement of a walker after N steps. What is the mean value for an N-step random walk? What is the N dependence of the variance (Ax)²?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Problem 3.35. Random walk Suppose that a random walker takes n steps to the right and n' steps to the left for a total of N steps. Each step is of equal length a and the probability of a step to the right is p. Denote x as the net displacement of a walker after N steps. What is the mean value for an N-step random walk? What is the N dependence of the variance (Ax)²? ☐
Transcribed Image Text:Problem 3.35. Random walk Suppose that a random walker takes n steps to the right and n' steps to the left for a total of N steps. Each step is of equal length a and the probability of a step to the right is p. Denote x as the net displacement of a walker after N steps. What is the mean value for an N-step random walk? What is the N dependence of the variance (Ax)²? ☐
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