. Determine the stationary distribution of the random walk on a circle described in Example 100. Use the property that the balance equations for i = 1,..., − 1 are the same as those for a standard...

. Determine the stationary distribution of the random walk on a circle described in Example 100. Use the property that the balance equations for i = 1,..., − 1 are the same as those for a standard random walk, and so πi = π0 i k=1 p_k−1/q_k
for i ≤ − 1. Then solve for π and π0. Consider the special case p_i
= p and qi = 1 − p for all i. For what value of p is the random walk reversible?Example 100