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arXiv · 2002.09764

On the law of the iterated logarithm and strong invariance principles in stochastic geometry

Johannes Krebs
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Abstract

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.

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Johannes Krebs. 2020-02-22. On the law of the iterated logarithm and strong invariance principles in stochastic geometry. https://arxiv.org/abs/2002.09764

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