3 papers
math.AP2026
Read--Shockley formula for a general Bravais lattice in two dimensions
Lucia Scardia, Edoardo Giovanni Tolotti
In this note we consider a two-dimensional semi-discrete dislocation energy and propose a simple and physically motivated construction for the grain boundary between two crystal gr…
math.AP2025
Explicit minimisers for anisotropic Riesz energies
Rupert L. Frank, Joan Mateu, Maria Giovanna Mora +3
In this paper we describe explicitly the energy minimisers of a class of nonlocal interaction energies where the attraction is quadratic, and the repulsion is Riesz-like and anisot…
math.AP2025
Nonlocal anisotropic Riesz interactions with a physical confinement
Maria Giovanna Mora, Luca Rondi, Lucia Scardia +1
In this work we fully characterize, in any space dimension, the minimizer of a class of nonlocal and anisotropic Riesz energies defined over probability measures supported on ellip…