@article{oai:repository.dl.itc.u-tokyo.ac.jp:00040170, author = {Liang, Song and Liu, Jingjun}, issue = {2}, journal = {Journal of mathematical sciences, the University of Tokyo}, month = {}, note = {application/pdf}, pages = {421--454}, title = {On the Precise Laplace Approximation for Large Deviations of Markov Chain The Nondegenerate Case}, volume = {10}, year = {2003} }