M. Cicalese

collaborators

3 papers

math.FA2025

The Quantitative Faber-Krahn Inequality for the Combinatorial Laplacian in $Z^{d}$

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…

math.AP2025

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…

math.AP2024

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit

Marco Cicalese, Dario Reggiani, Francesco Solombrino

We analyze the discrete-to-continuum limit of a frustrated ferromagnetic/anti-ferromagnetic $S^{2}$ -valued spin system on the lattice $I^»_{n} Z^{2}$ as $I^»_{n} \to 0$ . For…

The Quantitative Faber-Krahn Inequality for the Combinatorial Laplacian in Zd

Energy concentration in a two-dimensional magnetic skyrmion model: variational analysis of lattice and continuum theories

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the S1 to S2 limit

The Quantitative Faber-Krahn Inequality for the Combinatorial Laplacian in $Z^{d}$

From discrete to continuum in the helical XY-model: emergence of chirality transitions in the $S^{1}$ to $S^{2}$ limit