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Results tagged with percolation
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user 78164
2
votes
1
answer
182
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Percolation on the hyperbolic plane and convergence to SLE(6) on hyperbolic plane
In "Percolation in the hyperbolic plane" the authors study the properties of percolation in the hyperbolic plane. Smirnov and others proved convergence of isotropic percolation to SLE(6). …
- 395
4
votes
0
answers
190
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Remaining models conjectured to converge to SLE(6) or CLE(6)
The following are from Smirnov's 2007 review and elsewhere:
1) Critical percolation for lattices other than triangular eg. the square lattice. Any detailed review on this? … 2) Fortuin-Kasteleyn random cluster model for $n=1$ and $x>x_{c}$, where $x_{c}$ the critical edge weight.
3) For $O(1)$ but for $x\neq 1$ and $p\neq 1/2$, which correspond to the critical percolation …
- 395