Author

Júlia Komjáthy

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Preprint Jul 2026

From local giants to locality in long-range percolation

We prove the analogue of Schramm's locality conjecture for long-range percolation on transitive graphs of polynomial growth with $\alpha \in (0,2)$. In this setting, we also prove the joint continuity of the percolation probability $\theta$ with respect to three parameters: the underlying graph with respect to the loca...

Yago Moreno Alonso, Júlia Komjáthy · 0 citations