A. Fribergh

collaborators

3 papers

math.PR2025

Bi-infinite incipient cluster in high dimensions

Manuel Cabezas, Alexander Fribergh, Markus Heydenreich +1

We consider high-dimensional percolation at the critical threshold. We condition the origin to be disjointly connected to two points, $x$ and $x^{'}$ , and subsequently take the limit…

math.PR2025

Scaling limit for the random walk on critical lattice trees

GÃ©rard Ben Arous, Manuel Cabezas, Alexander Fribergh

We prove a scaling limit theorem for the simple random walk on critical lattice trees in $Z^{d}$ , for $d \geq 8$ . The scaling limit is the Brownian motion on the Integrated S…

math.PR2025

Random skeletons in high-dimensional lattice trees

Manuel Cabezas, Alexander Fribergh, Mark Holmes +1

We study the behaviour of the rescaled minimal subtree containing the origin and K random vertices selected from a random critical (sufficiently spread-out, and in dimensions d > 8…