%0 Journal Article %T Entropy Rate for Hidden Markov Chains with rare transitions %A Yuval Peres %A Anthony Quas %J Mathematics %D 2010 %I arXiv %X We consider Hidden Markov Chains obtained by passing a Markov Chain with rare transitions through a noisy memoryless channel. We obtain asymptotic estimates for the entropy of the resulting Hidden Markov Chain as the transition rate is reduced to zero. %U http://arxiv.org/abs/1012.2086v1