2013/05/31 by L. Chakhmakhchyan, Levon Chakhmakhchyan, Dima L. Shepelyansky +1
Computer Science · Physics and Astronomy · Social Sciences · #Cartography #Complex Network Analysis Techniques #Computer science #Geography #Intermittency #Misinformation and Its Impacts #Opinion Dynamics and Social Influence #PageRank #Physics #Process (computing) #Scale (ratio) #Statistical physics #Theoretical computer science #cs.SI #nlin.CD #physics.soc-ph
paper · pdf · doi:10.1016/j.physleta.2013.10.003
published as Phys. Lett. A 377, 3119 (2013) · 7 pages, 6 figures. Updated version for publication
openalex publication_date 2013/10/07 · arxiv created 2013/11/03 · arxiv updated 2013/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.