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math.MG2021
Decomposition of integral metric currents
Paolo Bonicatto, Giacomo Del Nin, Enrico Pasqualetto
In the setting of complete metric spaces, we prove that integral currents can be decomposed as a sum of indecomposable components. In the special case of one-dimensional integral c…
math.MG2021
Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings
Giacomo Del Nin, Mircea Petrache
We prove discrete-to-continuum convergence of interaction energies defined on lattices in the Euclidean space (with interactions beyond nearest neighbours) to a crystalline perimet…