 |
|
|
|
| HAL : hal-00499485, version 1 |
| DOI : 10.1371/journal.pone.0008681 |
| Fiche détaillée |  Récupérer au format |
|
|
| PLoS ONE 5, 1 (2010) e8681 |
|
|
|
|
| Viability and Resilience of Languages in Competition |
|
|
| Laetitia Chapel 1, 2Xavier Castelló 3 |
|
|
| (26/01/2010) |
|
|
|
| We study the viability and resilience of languages, using a simple dynamical model of two languages in competition. Assuming that public action can modify the prestige of a language in order to avoid language extinction, we analyze two cases: (i) the prestige can only take two values, (ii) it can take any value but its change at each time step is bounded. In both cases, we determine the viability kernel, that is, the set of states for which there exists an action policy maintaining the coexistence of the two languages, and we define such policies. We also study the resilience of the languages and identify configurations from where the system can return to the viability kernel (finite resilience), or where one of the languages is lead to disappear (zero resilience). Within our current framework, the maintenance of a bilingual society is shown to be possible by introducing the prestige of a language as a control variable. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | Laboratoire d'ingénierie pour les systèmes complexes (UR LISC) |
|
|
|
CEMAGREF |
|
|
| 2 : | Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Lab-STICC) |
|
|
|
CNRS : UMR3192 – Université de Bretagne Occidentale - Brest – Université de Bretagne Sud – Institut Télécom – Télécom Bretagne – Université européenne de Bretagne – Institut Supérieur des Sciences et Technologies de Brest (ISSTB) |
|
|
| 3 : | Instituto de Física Interdiciplinar y Sistemas Complejos (IFISC) |
|
|
|
University of the Balearic Islands - Spanish National Research Council |
|
|
| 4 : | Instituto de Física Interdiciplinar y Sistemas Complejos (IFISC) |
|
|
|
University of the Balearic Islands - Spanish National Research Concil |
|
|
|
|
|
|
|
|
|
| LISC - Cemagref ; IFSC - (CSIC-UIB) Instituto de Fısica Interdiciplinar y Sistemas Complejos |
|
|
|
|
| Domaine | : | Informatique/Apprentissage Statistiques/Machine Learning Sciences de l'Homme et Société/Linguistique Mathématiques/Optimisation et contrôle |
|
|
| Liste des fichiers attachés à ce document : | |||||
|
|||||
|
|
|
| hal-00499485, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00499485 | |
| oai:hal.archives-ouvertes.fr:hal-00499485 | |
| Contributeur : Laetitia Chapel | |
| Soumis le : Vendredi 9 Juillet 2010, 16:57:49 | |
| Dernière modification le : Vendredi 9 Juillet 2010, 17:11:19 | |
