(7) Let P be the transition matrix for simple random walk on the n-cycle (Xk $1,2,... are i.i.d. with P(₁ ₁ = 1) = P(§₁

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7 Let P Be The Transition Matrix For Simple Random Walk On The N Cycle Xk 1 2 Are I I D With P 1 P 1 (24.87 KiB) Viewed 11 times

(7) Let P be the transition matrix for simple random walk on the n-cycle (Xk $1,2,... are i.i.d. with P(₁ ₁ = 1) = P(§₁ = − 1) =) for n odd. Find the smallest value of r so that P³(x, y) > 0 for all s≥r and all x, y € Z/nZ. = Xk-1 + Ek (modn) where