no code implementations • 28 Jan 2021 • 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 perimeter, and we discuss the possible Wulff shapes obtainable in this way.
Metric Geometry Mathematical Physics Analysis of PDEs Mathematical Physics 49Q20, 49J45 (primary), 49Q10, 52B11, 52C07, 52C22, 52C23 (secondary)
