About limit matrices of finite-state Markov chains

By means of the concept of group inverse of a matrix we study limiting properties of a collection of stochastic matrices {P-epsilon, epsilon is an element of [0, 1]}, where For All epsilon is an element of [0, 1], P-epsilon is an element of R(nxn) and where P-0 = lim(epsilon-->0)P(epsilon). (C) Elsevier Science Inc., 1997