3 papers
math.AP2025
Rigidity and functional properties of
Marco Caroccia, Nicolas Van Goethem
We provide a structural analysis of the space of functions of bounded deviatoric deformation, , which arises in models of plasticity and fluid mechanics. The mai…
math.AP2025
Iterative blow-ups for maps with bounded -variation: a refinement, with application to and
Marco Caroccia, Nicolas Van Goethem
We refine the iterated blow-up techniques. This technique, combined with a rigidity result and a specific choice of the kernel projection in the Poincaré inequality, might be empl…
math.OC2025
On the emergence of almost-honeycomb structures in low-energy planar clusters
Marco Caroccia, Kenneth DeMason, Francesco Maggi
Several commonly observed physical and biological systems are arranged in shapes that closely resemble an honeycomb cluster, that is, a tessellation of the plane by regular hexagon…