25 citations · 67 across the 11 of their papers we have counts for
12 papers
Range convergence and sharp one-arm asymptotics for the critical percolation cluster in high dimensions
M. Cabezas, D. Croydon, A. Fribergh +1
For critical Bernoulli bond percolation on in the high-dimensional regime, we prove that the rescaled empirical measure of the cluster of the origin converges, in a suitable…
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…
Avalanches in Critical Activated Random Walks
Manuel Cabezas, Leonardo T. Rolla
We consider Activated Random Walks on with totally asymmetric jumps and critical particle density, with different time scales for the progressive release of particles and the…
Backbone scaling limits for random walks on random critical trees
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh
We prove the existence of scaling limits for the projection on the backbone of the random walks on the Incipient Infinite Cluster and the Invasion Percolation Cluster on a regular…
Scaling limit for the ant in a simple labyrinth
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh
We prove that, after suitable rescaling, the simple random walk on the trace of a large critical branching random walk converges to the Brownian motion on the integrated super-Brow…
Scaling limit for the ant in high-dimensional labyrinths
Gérard Ben Arous, Manuel Cabezas, Alexander Fribergh
We study here a detailed conjecture regarding one of the most important cases of anomalous diffusion, i.e the behavior of the "ant in the labyrinth". It is natural to conjecture (s…
Recurrence and Density Decay for Diffusion-Limited Annihilating Systems
Manuel Cabezas, Leonardo T. Rolla, Vladas Sidoravicius
We study an infinite system of moving particles, where each particle is of type A or B. Particles perform independent random walks at rates D_A>0 and D_B>0, and the interaction is…
Non-equilibrium Phase Transitions: Activated Random Walks at Criticality
Manuel Cabezas, Leonardo T. Rolla, Vladas Sidoravicius
In this paper we present rigorous results on the critical behavior of the Activated Random Walk model. We conjecture that on a general class of graphs, including , an…
Randomly trapped random walks
Gérard Ben Arous, Manuel Cabezas, Jiří Černý +1
We introduce a general model of trapping for random walks on graphs. We give the possible scaling limits of these Randomly Trapped Random Walks on . These scaling limi…
Gaussian lower bound for the FIN diffusion
Manuel Cabezas
We establish a Gaussian lower bound for the FIN singular diffusion using the Ray-Knight description of the local time.