数学物理学报(英文版)
數學物理學報(英文版)
수학물이학보(영문판)
Acta Mathematica Scientia
2004年
2期
301-306
,共6页
Empirical measures%weak convergence%saddle point
This paper considers diffusion processes {Xε(t)} on R2, which are perturbations of dynamical system {X(t)} (dX(t) = b(X(t))dt) on R2. By means of weak convergence of probability measures, the authors characterize the limit behavior for empirical measures of {Xε(t)} in a neighborhood domain of saddle point of the dynamical system as the perturbations tend to zero.
