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2 votes
2 answers
183 views

Which infinite random graphs with percolation threshold $p_c=0$ are transient?

I am interested in long-range percolation models with heavy-tailed degree distributions such as DHH13, GLM21, Y6. The simplest example is scale-free percolation in which vertices are elements $\mathbb{...
Christian Mönch's user avatar
1 vote
1 answer
198 views

Figuring out a consistent definition for the percolation backbone

In the context of percolation, e.g., bond/site percolation, random graph connectivity in 2-3 dimensions, etc., once the percolation threshold is reached, that is the system is spanned by an infinite ...
user929304's user avatar