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math.PR2026
Isoperimetric inequality for nonlocal bi-axial discrete perimeter
V. Jacquier, W. M. Ruszel, C. Spitoni
In the present manuscript we address and solve for the first time a nonlocal discrete isoperimetric problem. We consider indeed a generalization of the classical perimeter, what we…
math.PR2025
Emergence of metastability on the hyperbolic lattice: Effects of boundary conditions
Vanessa Jacquier, Wioletta M. Ruszel
We investigate the Ising model on finite subgraphs of the hyperbolic lattice under minus boundary conditions and in the presence of a positive external field . Interpreting the…