Birds on a wire. (1st October 2022)

• Record Type: Journal Article
• Authors: Krapivsky, P L; Redner, S
• Is Part Of: Journal of statistical mechanics. (2022:Oct.)
• Publication Date: 2022-10-01
• Subjects: stochastic processes; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ac98bf
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We investigate the occupancy statistics of birds on a wire. Birds land one by one on a wire and rest where they land. Whenever a newly arriving bird lands within a fixed distance of already resting birds, these resting birds immediately fly away. We determine the steady-state occupancy of the wire, the distribution of gaps between neighboring birds, and other basic statistical features of this process. We briefly discuss conjectures for corresponding observables in higher dimensions.