Abstract
We study the law of the iterated logarithm (Khinchin (1924), Kolmogorov (1929)) and related strong invariance principles for functionals in stochastic geometry. As potential applications, we think of well-known functionals defined on the k-nearest neighbors graph and important functionals in topological data analysis such as the Euler characteristic and persistent Betti numbers.
Citation
Johannes Krebs. "On the law of the iterated logarithm and strong invariance principles in stochastic geometry." Bernoulli 27 (3) 1695 - 1723, August 2021. https://doi.org/10.3150/20-BEJ1288
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