Perturbed Semi-Markov Type Processes I

This book is the first volume of a two-volume monograph devoted to the study of limit and ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov processes, and multi-alternating regenerative processes with semi-Markov modulation. 

The first volume presents necessary and sufficient conditions for weak convergence for first-rare-event times and convergence in the topology ...