论文标题
关于迭代的对数定律和随机几何形状中强的不变性原则
On the law of the iterated logarithm and strong invariance principles in stochastic geometry
论文作者
论文摘要
我们研究了迭代对数的定律（Khinchin（1924），Kolmogorov（1929））和相关的随机几何形状中相关的强不变性原理。作为潜在的应用，我们考虑了众所周知的功能，例如在$ k $ neart的邻居图上定义的功能和拓扑数据分析中的重要功能，例如Euler特征和持续的Betti数字。
We study the law of the iterated logarithm (Khinchin (1924), Kolmogorov (1929)) and related strong invariance principles in stochastic geometry. As potential applications, we think of well-known functionals such as functionals defined on the $k$-nearest neighbors graph and important functionals in topological data analysis such as the Euler characteristic and persistent Betti numbers.
