86 citations · 358 across the 33 of their papers we have counts for
38 papers
A characterization of strong percolation via disconnection
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2
We consider a percolation model, the vacant set of random interlacements on , , in the regime of parameters in which it is strongly pe…
Phase transition for the vacant set of random walk and random interlacements
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2
We consider the set of points visited by the random walk on the discrete torus , for , at times of order , for a parameter in the…
Finite range interlacements and couplings
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2
In this article, we consider the interlacement set at level on , , and its finite range version for , given b…
Fluctuation bounds for symmetric random walks on dynamic environments via Russo-Seymour-Welsh
Rangel Baldasso, Marcelo R. Hilario, Daniel Kious +1
In this article, we prove a lower bound for the fluctuations of symmetric random walks on dynamic random environments in dimension in the perturbative regime where the walk…
Permissionless Refereed Tournaments
Diego Nehab, Augusto Teixeira
Scalability problems in programmable blockchains have created a strong demand for secure methods that move the bulk of computation outside the blockchain. One of the preferred solu…
Percolation phase transition on planar spin systems
Caio Alves, Gideon Amir, Rangel Baldasso +1
In this article we study the continuity and sharpness of the phase transition for percolation models defined on top of planar spin systems. The two examples that we treat in detail…