Morrow, Gregory J. - In: Stochastic Processes and their Applications 125 (2015) 5, pp. 2010-2025
Let Xj denote a fair gambler’s ruin process on Z∩[−N,N] started from X0=0, and denote by RN the number of runs of the … respectively in the meander portion of the gambler’s ruin process. Then, N−1(2RN′−LN′) converges in law as N→∞ to the density (π/4 …