Figure 7
Random walk. (a) Starting at the origin, a walker takes N (in this case, five) steps, each step in a random direction. Each step is the same length and independent of the previous one. Because of the many random choices, the final position of the walker varies each time. Four final positions are shown (marked ×). Some final positions are more likely than others. (b) The probability that the walker will be at a given final position after N steps is proportional to a two-dimensional Gaussian, shown with grey shading. |