English

On central limit theorems in stochastic geometry

Probability 2018-04-10 v1

Abstract

We establish central limit theorems for general functionals on binomial point processes and their Poissonized version. As an application, a central limit theorem for Betti numbers of random geometric complexes in the thermodynamic regime is derived.

Keywords

Cite

@article{arxiv.1804.02823,
  title  = {On central limit theorems in stochastic geometry},
  author = {Khanh Duy Trinh},
  journal= {arXiv preprint arXiv:1804.02823},
  year   = {2018}
}
R2 v1 2026-06-23T01:17:34.476Z