# Higher-Dimensional Stick Percolation

@article{Broman2021HigherDimensionalSP, title={Higher-Dimensional Stick Percolation}, author={Erik I. Broman}, journal={Journal of Statistical Physics}, year={2021} }

<jats:p>We consider two cases of the so-called stick percolation model with sticks of length <jats:italic>L</jats:italic>. In the first case, the orientation is chosen independently and uniformly, while in the second all sticks are oriented along the same direction. We study their respective critical values <jats:inline-formula><jats:alternatives><jats:tex-math>$$\lambda _c(L)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow…

## One Citation

### Continuum Percolation in a Nonstabilizing Environment

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We prove nontrivial phase transitions for continuum percolation in a Boolean model based on a Cox point process with nonstabilizing directing measure. The directing measure, which can be seen as a…

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