论文标题
小型扰动和运动对不变概率度量单纯形的长期影响
Long Time Influence of Small Perturbations and Motion on the Simplex of Invariant Probability Measures
论文作者
论文摘要
本文介绍了与确定性和随机类型的长期影响有关的一系列与长期影响有关的广泛渐近问题的一般方法。这种影响的主要特征是在适当的时间范围内对非扰动系统的不变概率测量方法的单纯运动进行了限制。我们在论文中使用的主要工具是限制较大偏差的定理，修改了平均原理和扩散近似。
A general approach to a broad class of asymptotic problems related to long-time influence of small perturbations, of both deterministic and stochastic type, is presented in the paper. The main characteristic of this influence is a limiting motion on the simplex of invariant probability measures of the non-perturbed system in an appropriate time scale. The main tools we use in the paper are limit theorems for large deviations, modified averaging principle, and diffusion approximation.
