5 papers
Comparison between the non-crossing and the non-crossing on lines properties
Daniel Campbell, Aldo Pratelli, Emanuela Radici
In the recent paper [2], it was proved that the closure of the planar diffeomorphisms in the Sobolev norm consists of the functions which are non-crossing (NC), i.e., the functions…
Opinion Formation Systems via Deterministic Particles Approximation
Simone Fagioli, Emanuela Radici
We propose an ODE-based derivation for a generalized class of opinion formation models either for single and multiple species (followers, leaders, trolls). The approach is purely d…
The Fermionic Signature Operator in De Sitter Spacetime
Claudio Dappiaggi, Felix Finster, Simone Murro +1
The fermionic projector state is a distinguished quasi-free state for the algebra of Dirac fields in a globally hyperbolic spacetime. We construct and analyze it in the four-dimens…
Deterministic particle approximation for nonlocal transport equations with nonlinear mobility
M. Di Francesco, S. Fagioli, E. Radici
We construct a deterministic, Lagrangian many-particle approximation to a class of nonlocal transport PDEs with nonlinear mobility arising in many contexts in biology and social sc…
On the piecewise approximation of bi-Lipschitz curves
Aldo Pratelli, Emanuela Radici
In this paper we deal with the task of uniformly approximating an -biLipschitz curve by means of piecewise linear ones. This is rather simple if one is satisfied to have approxi…