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Capacity of loop-erased random walk

math.PR · 2024-11-20 · unverdicted · novelty 7.0

Proves strong law and explicit limits for LERW capacity in d≥4, ergodicity in d=4, and random scaling limit of order n^{1/β} in d=3 expressed via Kozma's scaling limit, with corollary on capacity-parametrized LERW scaling.

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  • Capacity of loop-erased random walk math.PR · 2024-11-20 · unverdicted · none · ref 14

    Proves strong law and explicit limits for LERW capacity in d≥4, ergodicity in d=4, and random scaling limit of order n^{1/β} in d=3 expressed via Kozma's scaling limit, with corollary on capacity-parametrized LERW scaling.