The mean-field limit for systems of self-propelled agents with “topological interaction” cannot be obtained by means of the usual Dobrushin approach. We get results by adapting to the multidimensional case the techniques developed by Trocheris in 1986 to treat the Vlasov-Poisson equation in one dimension.
MEAN-FIELD LIMIT FOR PARTICLE SYSTEMS WITH TOPOLOGICAL INTERACTIONS / Benedetto, D.; Caglioti, E.; Rossi, S.. - In: MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS. - ISSN 2326-7186. - 9:4(2021), pp. 423-440. [10.2140/memocs.2021.9.423]
MEAN-FIELD LIMIT FOR PARTICLE SYSTEMS WITH TOPOLOGICAL INTERACTIONS
Benedetto D.;Caglioti E.;Rossi S.
2021
Abstract
The mean-field limit for systems of self-propelled agents with “topological interaction” cannot be obtained by means of the usual Dobrushin approach. We get results by adapting to the multidimensional case the techniques developed by Trocheris in 1986 to treat the Vlasov-Poisson equation in one dimension.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Benedetto_Mean-field-limit_2022.pdf
accesso aperto
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
849.39 kB
Formato
Adobe PDF
|
849.39 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
