## Large Deviation for Periodic Markov Process on Square Lattice

J. Math. Sci. Univ. Tokyo
Vol. 13 (2006), No. 4, Page 525--544.

Chiyonobu, Taizo; Ichihara, Kanji; Mituisi, Hideto
Large Deviation for Periodic Markov Process on Square Lattice
We discuss large deviations for the pinned motion of a periodic Markov chain on the $d$-dimensional square lattice $\mathbb{Z}^d$. Making use of the harmonic transform based on a positive principal eigenfunction of the difference operator related to the Markov chain, a nice large deviation principle is established.