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math.PR2023
Arm exponent for the Gaussian free field on metric graphs in intermediate dimensions
Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
We investigate the bond percolation model on transient weighted graphs induced by the excursion sets of the Gaussian free field on the corresponding metric graph. We assume t…
math.PR2023
Lipschitz cutset for fractal graphs and applications to the spread of infections
Alexander Drewitz, Gioele Gallo, Peter Gracar
We consider the fractal Sierpiński gasket or carpet graph in dimension denoted by . At time , we place a Poisson point process of particles onto the graph and let…