Peter Mörters
University of Bath
Title: A large deviation principle for tree-indexed Markov chains

We first briefly review the large deviation principle for the empirical pair measure of a Markov chain with finite state space. In the main part of the talk I present new results for Markov chains indexed by random trees, which are generated by a variety of random mechanisms. In all cases we obtain natural, explicit rate functions. The talk is based on joint work with Amir Dembo (Stanford) and Scott Sheffield (Berkeley).
©2004, Department of Mathematical Sciences
Last Modified: November 9, 2004