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09/27/2022
Persistent homology based goodness-of-fit tests for spatial tessellations
Motivated by the rapidly increasing relevance of virtual material design...
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01/28/2022
Agent-based simulations for coverage extensions in 5G networks and beyond
Device-to-device (D2D) communications is one of the key emerging technol...
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01/11/2022
Topology-based goodness-of-fit tests for sliced spatial data
In materials science and many other application domains, 3D information ...
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12/01/2021
Asymptotic properties of one-layer artificial neural networks with sparse connectivity
A law of large numbers for the empirical distribution of parameters of a...
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09/12/2021
On the consistency and asymptotic normality of multiparameter persistent Betti numbers
The persistent Betti numbers are used in topological data analysis to in...
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03/30/2020
Functional central limit theorems for persistent Betti numbers on cylindrical networks
We study functional central limit theorems (FCLTs) for persistent Betti ...
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06/18/2019
Testing goodness of fit for point processes via topological data analysis
We introduce tests for the goodness of fit of point patterns via methods...
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04/03/2019
A spatial small-world graph arising from activity-based reinforcement
In the classical preferential attachment model, links form instantly to ...
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11/22/2018
The typical cell in anisotropic tessellations
The typical cell is a key concept for stochastic-geometry based modeling...
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04/06/2018
Estimation of geodesic tortuosity and constrictivity in stationary random closed sets
We investigate the problem of estimating geodesic tortuosity and constri...
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01/31/2018
Percolation for D2D Networks on Street Systems
We study fundamental characteristics for the connectivity of multi-hop D...
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12/21/2016