论文标题
限制定理用于z延伸中的自我隔离轨迹
Limit theorems for self-intersecting trajectories in Z-extensions
论文作者
论文摘要
本文研究了包括Z - 周期性Lorentz气体在内的动态系统的一类Z扩展，该流量轨迹的自我交流数量的渐近行为。它通过研究动态随机步行的Skorohod融合到布朗尼运动的本地时间，以自动交流过程的功能极限定理结束。
This paper studies for a class of Z-extensions of dynamical systems including Z-periodic Lorentz gas the asymptotic behavior of the number of self-intersections of the trajectory of the flow. It concludes on a functional limit theorem for the auto-intersection process by studying Skorohod convergence of discrete local time of a dynamical random walk toward the local time of a Brownian motion.
