For random spanning trees with weights exp(-β ω_e) on K_n, edge overlap transitions from ~β to ~n as β grows past n, with local limit matching uniform ST for β = o(n/log n) and min ST for β > n log^λ n.
Recurrence of distribu tional limits of finite planar graphs
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Local limits of random spanning trees in random environment
For random spanning trees with weights exp(-β ω_e) on K_n, edge overlap transitions from ~β to ~n as β grows past n, with local limit matching uniform ST for β = o(n/log n) and min ST for β > n log^λ n.