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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…
Finite size scaling of random XORSAT
Subhajit Goswami
We consider a "configuration model" for random XORSAT which is a random system of equations over variables in . Each equation is of the form $y_1 + y_2 + \cdot…