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math.PR2026
Quenched functional central limit theorem for the random conductance model under minimal moments
Leonid Kolesnikov, Yannic Steenbeck
We prove a quenched functional central limit theorem for the random conductance model with ergodic translation-invariant, strictly positive nearest-neighbor conductances, assuming…
math.PR2018★ 2 cited
The critical 1-arm exponent for the ferromagnetic Ising model on the Bethe lattice
Markus Heydenreich, Leonid Kolesnikov
We consider the ferromagnetic nearest-neighbor Ising model on regular trees (Bethe lattice), which is well-known to undergo a phase transition in the absence of an external magneti…