33 citations · 128 across the 30 of their papers we have counts for
35 papers
The Quantitative Faber-Krahn Inequality for the Combinatorial Laplacian in
Marco Cicalese, Leonard Kreutz, Gian Paolo Leonardi +1
While the classical Faber-Krahn inequality shows that the ball uniquely minimizes the first Dirichlet eigenvalue of the Laplacian in the continuum, this rigidity may fail in the di…
Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories
Luca Briani, Marco Cicalese, Leonard Kreutz
We investigate the formation of singularities in a baby Skyrme type energy model, which describes magnetic solitons in two-dimensional ferromagnetic systems. In presence of a diver…
From discrete to continuum in the helical XY-model: emergence of chirality transitions in the to limit
Marco Cicalese, Dario Reggiani, Francesco Solombrino
We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic -valued spin system on the lattice as . For $\…
Stacking faults in the limit of a discrete model for partial edge dislocations
Annika Bach, Marco Cicalese, Adriana Garroni +1
In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining result for a next-to-nearest neighbor lattice model of a simple crystal. We show that th…
Emergence of Wulff-Crystals from atomistic systems on the FCC and HCP lattices
Marco Cicalese, Leonard Kreutz, Gian Paolo Leonardi
We consider a system of hard spheres sitting on the nodes of either the or lattice and interacting via a sticky-disk potential. As tends to in…
Renormalized energy between fractional vortices with topologically induced free discontinuities on 2-dimensional Riemannian manifolds
Rufat Badal, Marco Cicalese
On a two-dimensional Riemannian manifold without boundary we consider the variational limit of a family of functionals given by the sum of two terms: a Ginzburg-Landau and a perime…