Corpus ID: 155100101

Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense

@article{Gwynne2019JointSL,
  title={Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense},
  author={Ewain Gwynne and N. Holden and X. Sun},
  journal={arXiv: Probability},
  year={2019}
}
  • Ewain Gwynne, N. Holden, X. Sun
  • Published 2019
  • Mathematics, Physics
  • arXiv: Probability
  • Recent works have shown that random triangulations decorated by critical ($p=1/2$) Bernoulli site percolation converge in the scaling limit to a $\sqrt{8/3}$-Liouville quantum gravity (LQG) surface (equivalently, a Brownian surface) decorated by SLE$_6$ in two different ways: 1. The triangulation, viewed as a curve-decorated metric measure space equipped with its graph distance, the counting measure on vertices, and a single percolation interface converges with respect to a version of the… CONTINUE READING
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