A Class of Small Deviation Theorems for Random Fields on a Homogeneous Tree
关于齐次树上随机场的一类强偏差定理

By introducing the asymptotic logarithmic likelihood ratio as a measure of Markov approximation of the arbitrary random field on a homogeneous tree, and constructing a non-negative martingale, a class of small deviation theorems for random fields is established, and an existing result is generalized.