6533b7ddfe1ef96bd1275465
RESEARCH PRODUCT
PageRank model of opinion formation on Ulam networks
Levon ChakhmakhchyanDima L. Shepelyanskysubject
FOS: Computer and information sciencesPageRankPhysics - Physics and SocietyTheoretical computer scienceSznajd model[ NLIN.NLIN-CD ] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]FOS: Physical sciencesGeneral Physics and AstronomyNetwork structurePhysics and Society (physics.soc-ph)[ PHYS.PHYS.PHYS-SOC-PH ] Physics [physics]/Physics [physics]/Physics and Society [physics.soc-ph]01 natural sciencesopinion formation010305 fluids & plasmaslaw.inventionPageRanklawIntermittency0103 physical sciencesAlgebraic number010306 general physicsSocial and Information Networks (cs.SI)Physicsvoting models[PHYS.PHYS.PHYS-SOC-PH]Physics [physics]/Physics [physics]/Physics and Society [physics.soc-ph]Frame (networking)Process (computing)Computer Science - Social and Information NetworksNonlinear Sciences - Chaotic Dynamics[NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]Chaotic Dynamics (nlin.CD)Opinion formationdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-10-07 |