24 citations · 91 across the 18 of their papers we have counts for
3 papers · 1 filter
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, and , and subsequently take the limit…
Scaling limit for the random walk on critical lattice trees
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh
We prove a scaling limit theorem for the simple random walk on critical lattice trees in , for . The scaling limit is the Brownian motion on the Integrated S…
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…