the NNSF of China(10371092,10771185,10471148);the Foundation of Wuhan University
This article is a continuation of[9].Based on the discussion of random Kolmogorov forward(backward)equations,for any given q-matrix in random environment, Q(θ)=(q(θ;x,y),x,y∈X),an infinite class of q-proces...
The concepts of Markov process in random environment, q-matrix in random environment, and q-process in random environment are introduced. The minimal q-process in random environment is constructed and the necessary an...
the National Natural Science Foundation of China (10471148);the Natural Science Foundation of Shaanxi Province (2005A08, 2006A14)
Let W^-(t)(t∈R+^N) be the d-dimensional N-parameter generalized Brownian sheet. We study the polar sets for W^-(t). It is proved that for any α∈ R^d, P{W^-(t) = α, for some t∈ R〉^N} = {1, if βd 〈 2N ...