P(d) is the probability of the random walk on a d-Lattice. George Pólya proved that the p(1)=p(2)=1. But actually if d < 2, then p(d)<1. Later on, Watson, McCrea and Whipple , Domb, and Glasser and Zucker showed that p(3)[Pólya's Random Walk Constant] is [1 - (1/u(3))], which is approximately equal to 0.34053.
P(d) is the probability of the random walk on a d-Lattice. George Pólya proved that the p(1)=p(2)=1. But actually if d < 2, then p(d)<1. Later on, Watson, McCrea and Whipple , Domb, and Glasser and Zucker showed that p(3)[Pólya's Random Walk Constant] is [1 - (1/u(3))], which is approximately equal to 0.34053.
