论文标题
Khintchine定理的随机吸引子的类似物
Analogues of Khintchine's theorem for random attractors
论文作者
论文摘要
在本文中,我们研究随机迭代功能系统。我们的主要结果为众所周知的定理提供了足够的条件,这是由于二苯胺近似中的khintchine而导致的,几乎可以肯定地保留用于随机自随随机的自相似和自我仿真的随机迭代功能系统。
In this paper we study random iterated function systems. Our main result gives sufficient conditions for an analogue of a well known theorem due to Khintchine from Diophantine approximation to hold almost surely for stochastically self-similar and self-affine random iterated function systems.