Proves finiteness of λ_c(μ) for the 1D renewal contact process when interarrival distributions are arithmetic or have uniformly small atomic components on short intervals.
Grimmett,What is Percolation?Berlin, Heidelberg: Springer Berlin Heidelberg, 1999, pp
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Coupled lasers in a 100-site array map percolation to phase locking with a threshold matching classical predictions, but nonlinear mode competition at low pump alters the transition nature.
A hybrid GHZ-BSM routing strategy outperforms pure BSM routing in square grid quantum networks but requires global-information adaptations to beat BSM in complex topologies such as Waxman, scale-free, and SURFnet.
Implicit formula for critical curve α_c(κ) of loop percolation on d-regular trees, positive for κ>κ_c=2√(d-1)/d-1, with mean-field exponents for κ>κ_c and quadratic percolation probability at κ=κ_c.
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