DeepAI
Log In Sign Up

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

02/22/2020
by   Johannes Krebs, et al.
0

We study the law of the iterated logarithm (Khinchin (1933), 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.

READ FULL TEXT

page 1

page 2

page 3

page 4

02/22/2020

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

We study the law of the iterated logarithm (Khinchin (1933), Kolmogorov ...
11/24/2021

Strong Invariance Principles for Ergodic Markov Processes

Strong invariance principles describe the error term of a Brownian appro...
02/16/2021

Euler Characteristic Surfaces

We study the use of the Euler characteristic for multiparameter topologi...
11/13/2022

Multivariate strong invariance principles in Markov chain Monte Carlo

Strong invariance principles in Markov chain Monte Carlo are crucial to ...
12/27/2013

Combining persistent homology and invariance groups for shape comparison

In many applications concerning the comparison of data expressed by R^m-...
07/12/2022

Application of Benford-Newcomb Law with Base Change to Electoral Fraud Detection

The invariance of Benford-Newcomb law under base changing is employed to...
03/17/2022

GPU Computation of the Euler Characteristic Curve for Imaging Data

Persistent homology is perhaps the most popular and useful tool offered ...