Yago Moreno Alonso

collaborators

2 papers

math.PR2026

From local giants to locality in long-range percolation

Yago Moreno Alonso, JÃºlia KomjÃ¡thy

We prove the analogue of Schramm's locality conjecture for long-range percolation on transitive graphs of polynomial growth with $I^\pm \in (0, 2)$ . In this setting, we also prove the j…

math.PR2026

Supercritical long-range percolation on graphs of polynomial growth: the truncated one-arm exponent

Yago Moreno Alonso, Julia Komjathy

We consider supercritical long-range percolation on transitive graphs of polynomial growth. In this model, any two vertices $x$ and $y$ of the underlying graph $G$ connect by a dir…