Corpus ID: 119122603

Annealed invariance principle for random walks on random graphs generated by point processes in $\mathbb{R}^d$

@article{Rousselle2015AnnealedIP,
  title={Annealed invariance principle for random walks on random graphs generated by point processes in \$\mathbb\{R\}^d\$},
  author={Arnaud Rousselle},
  journal={arXiv: Probability},
  year={2015}
}
We consider simple random walks on random graphs embedded in $\mathbb{R}^d$ and generated by point processes such as Delaunay triangulations, Gabriel graphs and the creek-crossing graphs. Under suitable assumptions on the point process, we show an annealed invariance principle for these random walks. These results hold for a large variety of point processes including Poisson point processes, Mat\'ern cluster and Mat\'ern hardcore processes which have respectively clustering and repulsiveness… Expand
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