- Vivi Padova
- Il Bo
SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Lunedi' 14 dicembre alle ore 12.15 in aula 2AB/45 TA Eugene Stepanov (St. Petersburg Inst. of Fine Mechanics and Optics) terra' un seminario dal titolo "Optimal transportation with fractional costs".
The classical Monge-Kantorovich problem (with linear cost) admits a natural reformulation in terms of mass minimization of a Federer-Fleming currents with given boundary. We consider the analogous transportation costs for measures involving fractional masses. The local structure of optimal currents as well as the strcuture of measure space induced by the respective costs will be discussed. The setting is in generic metric spaces, so one uses Ambrosio-Kirchheim currents instead of classical euclidean flat chains.
Rif. int. M. Bardi, M. Novaga, A. Cesaroni