摘要
Donsker-Varadhan's large deviation theory is applied to Markov chains with continuous parameter and countable state space. Since the lower estimate given by Donsker and Varadhan [5; part 4] is general enough in our context, we study only the upper estimate, and make the conditions for the estimate explicit.
Donsker-Varadhan's large deviation theory is applied to Markov chains with continuous parameter and countable state space. Since the lower estimate given by Donsker and Varadhan [5; part 4] is general enough in our context, we study only the upper estimate, and make the conditions for the estimate explicit.
基金
This work is supported in part by NSFC and the Foundation of Zhongshan. University, Advanced Research Centre.