“…The noncolliding BM is equivalent to Dyson's BM model (with parameter β = 2) and the latter is known as an eigenvalue process of Hermitian matrix-valued BM [13,53,67,24,26,37,42,69,58,59]. Then the noncolliding RW has been attracted much attention as a discretization of models associated with the Gaussian random matrix ensembles [2,27,55,36,28,3,18,16]. Nagao and Forrester [55] studied a 'bridge' of noncolliding RW started from u 0 = (2j) N −1 j=0 at t = 0 and returned to the same configuration u 0 at time t = 2M, M ∈ N 0 .…”