PageRank model of opinion formation on Ulam networks

L. Chakhmakhchyan (1, 2) , Dima Shepelyansky (3)

1 IPR - Institute for Physical Research
2 ICB - Laboratoire Interdisciplinaire Carnot de Bourgogne
3 ICQ - Cohérence Quantique (LPT)

We consider a PageRank model of opinion formation on Ulam networks, generated by the intermittency map and the typical Chirikov map. The Ulam networks generated by these maps have certain similarities with such scale-free networks as the World Wide Web (WWW), showing an algebraic decay of the PageRank probability. We find that the opinion formation process on Ulam networks have certain similarities but also distinct features comparing to the WWW. We attribute these distinctions to internal differences in network structure of the Ulam and WWW networks. We also analyze the process of opinion formation in the frame of generalized Sznajd model which protects opinion of small communities.

Mots clés: opinion formation; PageRank; voting models

Domaines: Dynamique Chaotique [nlin.CD]; Physique et Société [physics.soc-ph]

L. Chakhmakhchyan, Dima Shepelyansky. PageRank model of opinion formation on Ulam networks. Physics Letters A, 2013, 377, pp.3119. ⟨10.1016/j.physleta.2013.10.003⟩. ⟨hal-00830678⟩