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math-ph2023
Decay of the Green's function of the fractional Anderson model and connection to long-range SAW
Margherita Disertori, Roberto Maturana Escobar, Constanza Rojas-Molina
We prove a connection between the Green's function of the fractional Anderson model and the two point function of a self-avoiding random walk with long range jumps, adapting a stra…
math.PR2023
Transience of vertex-reinforced jump processes with long-range jumps
Margherita Disertori, Franz Merkl, Silke W. W. Rolles
We show that the vertex-reinforced jump process on the -dimensional lattice with long-range jumps is transient in any dimension as long as the initial weights do not decay t…