A geometric approach to collective motion

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations


We introduce the total s-energy of a multiagent system and bound its maximum asymptotic value. This gives us a new analytical device to study the convergence rate of bidirectional agreement dynamics. We use it to bound the convergence rate of dynamical systems for synchronization, flocking, opinion dynamics, and social epistemology.

Original languageEnglish (US)
Title of host publicationProceedings of the 26th Annual Symposium on Computational Geometry, SCG'10
Number of pages10
StatePublished - 2010
Event26th Annual Symposium on Computational Geometry, SoCG 2010 - Snowbird, UT, United States
Duration: Jun 13 2010Jun 16 2010

Publication series

NameProceedings of the Annual Symposium on Computational Geometry


Other26th Annual Symposium on Computational Geometry, SoCG 2010
Country/TerritoryUnited States
CitySnowbird, UT

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Computational Mathematics


  • Agreement dynamics
  • Collective motion
  • Total s-energy


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