... discrete Markov chain Zn, n 0, with starting point a.s. equal to x, and anindependent sequence of positive variables Tn, n 1, the “jump times , increasingto in nity, with increments TnC1 ... Markoviancharacter in the space variable of Brownian local times evaluated at certain random times. More recently, the Gaussian aspects and the relation with the isomorphismtheorems have gained prominence, ... we introduce some important random times for the continuous-timeMarkov chain Xt, t 0.GivenK Â E, we defineHKDinfft 0IXt2 Kg; the entrance time in K;zHKDinfft>0I Xt2 K and...