PageRank model of opinion formation on Ulam networks

L. Chakhmakhchyan, D. Shepelyansky

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)

Abstract

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 has 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.

Original languageEnglish
Pages (from-to)3119-3123
Number of pages5
JournalPhysics Letters A
Volume377
Issue number43
DOIs
Publication statusPublished - 9 Dec 2013

Keywords

  • Opinion formation
  • PageRank
  • Ulam networks

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