Matches in SemOpenAlex for { <https://semopenalex.org/work/W4386694313> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W4386694313 abstract "We introduce a stochastic geometry dynamics inspired by opinion dynamics, which captures the essence of modern asymmetric social networks, with leaders and followers. Opinions are represented by points in the Euclidean space and the leader of an agent is the agent with the closest opinion. In this dynamics, each follower updates its opinion by halving the distance to its leader. We show that this simple dynamics and its iterates exhibit several interesting purely geometric phenomena pertaining to the evolution of leadership and of opinion clusters, which are reminiscent of those observed in social network. We also show that when the initial opinions are randomly distributed as a stationary Poisson point process, the probability of occurrence of each of these phenomena can be represented by an integral geometry formula involving semi-agebraic domains. We finally analyze numerically the limiting behavior of this follower dynamics. In the Poisson case, the agents fall into two categories, that of ultimate followers, which never stop updating their opinions, and that of ultimate leaders, which adopt a fixed opinion in a finite time. All our findings are complemented by spatial discrete event simulations." @default.
- W4386694313 created "2023-09-14" @default.
- W4386694313 creator A5081085315 @default.
- W4386694313 creator A5015521562 @default.
- W4386694313 date "2023-09-09" @default.
- W4386694313 modified "2023-10-18" @default.
- W4386694313 title "On the Poisson Follower Model" @default.
- W4386694313 doi "https://doi.org/10.48550/arxiv.2309.04864" @default.
- W4386694313 hasPublicationYear "2023" @default.
- W4386694313 type Work @default.
- W4386694313 citedByCount "0" @default.
- W4386694313 crossrefType "posted-content" @default.
- W4386694313 hasAuthorship W4386694313A5015521562 @default.
- W4386694313 hasAuthorship W4386694313A5081085315 @default.
- W4386694313 hasBestOaLocation W43866943131 @default.
- W4386694313 hasConcept C100906024 @default.
- W4386694313 hasConcept C105795698 @default.
- W4386694313 hasConcept C111472728 @default.
- W4386694313 hasConcept C121332964 @default.
- W4386694313 hasConcept C121864883 @default.
- W4386694313 hasConcept C129782007 @default.
- W4386694313 hasConcept C134306372 @default.
- W4386694313 hasConcept C138885662 @default.
- W4386694313 hasConcept C139268390 @default.
- W4386694313 hasConcept C140479938 @default.
- W4386694313 hasConcept C144237770 @default.
- W4386694313 hasConcept C145912823 @default.
- W4386694313 hasConcept C17744445 @default.
- W4386694313 hasConcept C186450821 @default.
- W4386694313 hasConcept C24890656 @default.
- W4386694313 hasConcept C2524010 @default.
- W4386694313 hasConcept C2779662365 @default.
- W4386694313 hasConcept C2780586882 @default.
- W4386694313 hasConcept C33923547 @default.
- W4386694313 hasConcept C39549134 @default.
- W4386694313 hasConcept C41008148 @default.
- W4386694313 hasConcept C62520636 @default.
- W4386694313 hasConceptScore W4386694313C100906024 @default.
- W4386694313 hasConceptScore W4386694313C105795698 @default.
- W4386694313 hasConceptScore W4386694313C111472728 @default.
- W4386694313 hasConceptScore W4386694313C121332964 @default.
- W4386694313 hasConceptScore W4386694313C121864883 @default.
- W4386694313 hasConceptScore W4386694313C129782007 @default.
- W4386694313 hasConceptScore W4386694313C134306372 @default.
- W4386694313 hasConceptScore W4386694313C138885662 @default.
- W4386694313 hasConceptScore W4386694313C139268390 @default.
- W4386694313 hasConceptScore W4386694313C140479938 @default.
- W4386694313 hasConceptScore W4386694313C144237770 @default.
- W4386694313 hasConceptScore W4386694313C145912823 @default.
- W4386694313 hasConceptScore W4386694313C17744445 @default.
- W4386694313 hasConceptScore W4386694313C186450821 @default.
- W4386694313 hasConceptScore W4386694313C24890656 @default.
- W4386694313 hasConceptScore W4386694313C2524010 @default.
- W4386694313 hasConceptScore W4386694313C2779662365 @default.
- W4386694313 hasConceptScore W4386694313C2780586882 @default.
- W4386694313 hasConceptScore W4386694313C33923547 @default.
- W4386694313 hasConceptScore W4386694313C39549134 @default.
- W4386694313 hasConceptScore W4386694313C41008148 @default.
- W4386694313 hasConceptScore W4386694313C62520636 @default.
- W4386694313 hasLocation W43866943131 @default.
- W4386694313 hasOpenAccess W4386694313 @default.
- W4386694313 hasPrimaryLocation W43866943131 @default.
- W4386694313 hasRelatedWork W1977506574 @default.
- W4386694313 hasRelatedWork W1997887913 @default.
- W4386694313 hasRelatedWork W2011911564 @default.
- W4386694313 hasRelatedWork W2133957243 @default.
- W4386694313 hasRelatedWork W2560483257 @default.
- W4386694313 hasRelatedWork W2566649854 @default.
- W4386694313 hasRelatedWork W3106306830 @default.
- W4386694313 hasRelatedWork W3125235189 @default.
- W4386694313 hasRelatedWork W3202925792 @default.
- W4386694313 hasRelatedWork W4287600877 @default.
- W4386694313 isParatext "false" @default.
- W4386694313 isRetracted "false" @default.
- W4386694313 workType "article" @default.