40 citations · 58 across the 26 of their papers we have counts for
27 papers
Weak elastic energy of rectifiable curves in Riemannian surfaces
Domenico Mucci, Alberto Saracco, Cristian Sopio
We introduce a weak elastic energy for rectifiable curves on compact orientable smooth Riemannian surfaces without boundary. The energy is defined by relaxation starting from a not…
Weak elastic energy of rectifiable curves in the sphere
Domenico Mucci, Alberto Saracco, Cristian Sopio
We introduce for any exponent the -curvature functional for rectifiable curves in the two-dimensional sphere. We prove that this functional is finite and agrees with the i…
The fundamental theorem of the local theory for non-smooth curves
Domenico Mucci, Alberto Saracco
We extend the classical fundamental theorem of the local theory of smooth curves to a wider class of non-smooth data. Curvature and torsion are prescribed in terms of the distribut…
Escaping Fatou components with disjoint hyperbolic limit sets
Veronica Beltrami, Anna Miriam Benini, Alberto Saracco
We construct automorphisms of with a cycle of escaping Fatou components, on which there are exactly two limit functions, both of rank 1. On each such Fatou component…
Weak elastic energy of irregular curves
Domenico Mucci, Alberto Saracco
A weak notion of elastic energy for (not necessarily regular) rectifiable curves in any space dimension is proposed. Our -energy is defined through a relaxation process, where a…
Is math useful?
Alberto Saracco
"Is math useful?" might sound as a trick question. And it is. Of course math is useful, we live in a data-filled world and every aspect of life is totally entwined with math applic…