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cond-mat.stat-mech2021
High-precision anomalous dimension of percolation from giant cluster slicing
Alessandro Galvani, Andrea Trombettoni, Giacomo Gori
We apply the critical geometry approach for bounded critical phenomena [1] to percolation. The functional shape of the order parameter profile is related via the fractiona…
cond-mat.stat-mech2021
Magnetization profiles at the upper critical dimension as solutions of the integer Yamabe problem
Alessandro Galvani, Giacomo Gori, Andrea Trombettoni
We study the connection between the magnetization profiles of models described by a scalar field with marginal interaction term in a bounded domain and the solutions of the so-call…