Article ; Online: Emergent centrality in rank-based supplanting process.
2023 Volume 107, Issue 3-1, Page(s) 34114
Abstract: We propose a stochastic process of interacting many agents, which is inspired by rank-based supplanting dynamics commonly observed in a group of Japanese macaques. In order to characterize the breaking of permutation symmetry with respect to agents' rank ...
Abstract | We propose a stochastic process of interacting many agents, which is inspired by rank-based supplanting dynamics commonly observed in a group of Japanese macaques. In order to characterize the breaking of permutation symmetry with respect to agents' rank in the stochastic process, we introduce a rank-dependent quantity, overlap centrality, which quantifies how often a given agent overlaps with the other agents. We give a sufficient condition in a wide class of the models such that overlap centrality shows perfect correlation in terms of the agents' rank in the zero-supplanting limit. We also discuss a singularity of the correlation in the case of interaction induced by a Potts energy. |
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Language | English |
Publishing date | 2023-04-18 |
Publishing country | United States |
Document type | Journal Article |
ZDB-ID | 2844562-4 |
ISSN | 2470-0053 ; 2470-0045 |
ISSN (online) | 2470-0053 |
ISSN | 2470-0045 |
DOI | 10.1103/PhysRevE.107.034114 |
Database | MEDical Literature Analysis and Retrieval System OnLINE |
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