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Lupu, Titus , TITLE = · 2019 · DOI 10.4171/jems/859

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Critical curve of loop percolation on the $d$-regular tree

math.PR · 2026-06-25 · unverdicted · novelty 6.0

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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  • Critical curve of loop percolation on the $d$-regular tree math.PR · 2026-06-25 · unverdicted · none · ref 15

    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.