# Site percolation and random walks on d-dimensional Kagomé lattices

@article{Marck1998SitePA, title={Site percolation and random walks on d-dimensional Kagom{\'e} lattices}, author={Steven van der Marck}, journal={Journal of Physics A}, year={1998}, volume={31}, pages={3449-3460} }

The site percolation problem is studied on d-dimensional generalizations of the Kagome lattice. These lattices are isotropic and have the same coordination number q as the hyper-cubic lattices in d dimensions, namely q=2d. The site percolation thresholds are calculated numerically for d=3, 4, 5, and 6. The scaling of these thresholds as a function of dimension d, or alternatively q, is different than for hypercubic lattices: instead of . The latter is the Bethe approximation, which is usually…

## 16 Citations

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