Condensing on metric spaces : modeling, analysis and simulation
In this work, we extend the Hegselmann and Krause (HK) model, presented in [16] to an arbitrary metric space. We also present some theoretical analysis and some numerical results of the condensing of particles in finite and continuous metric spaces. For simulations in a finite metric space, we introduce the notion "random metric" using the split metrics studies by Dress and al. [2, 11, 12].
| Author: | Mostafa Zahri |
|---|---|
| URN: | urn:nbn:de:hebis:30-68016 |
| Referee: | Malte Sieveking |
| Document Type: | Doctoral Thesis |
| Language: | English |
| Date of Publication (online): | 19.08.2009 |
| Year of first Publication: | 2009 |
| Publishing Institution: | Univ.-Bibliothek Frankfurt am Main |
| Granting Institution: | Johann Wolfgang Goethe-Univ. Frankfurt am Main |
| Date of final exam: | 31.07.2009 |
| Tag: | Condensing ; collective intelligence ; discrete dynamical system ; forming a group ; manifold and geodesic ; multi-agents system ; random metric |
| HeBIS PPN: | 214916375 |
| Institutes: | Mathematik |
| Dewey Decimal Classification: | 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Veröffentlichungsvertrag für Publikationen ohne Print on Demand |
