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Results tagged with percolation
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user 49551
3
votes
0
answers
78
views
super-critical percolation on $\mathbb{Z}^2$, number of corners in a directed open path
Define the planar percolation where each unit edge is open with probability $p$ very close to $1$.
Looking at the event where there exists a directed open path between $(0,0)$ and $(n,n)$. … Is there a reference for this type of problem in percolation theory? …
- 485
3
votes
1
answer
182
views
Bernoulli percolation, infinite path from (0,0) in a "cone"
Look at Bernoulli percolation on $\mathbb{Z}^2$ with $p> p_c$ ($p$ can be arbitrarily close to 1). …
- 485