• Corpus ID: 243938346

Body-attitude coordination in arbitrary dimension

  title={Body-attitude coordination in arbitrary dimension},
  author={Pierre Degond and Antoine Diez and Amic Frouvelle},
We consider a system of self-propelled agents interacting through body attitude coordination in arbitrary dimension n ≥ 3. We derive the formal kinetic and hydrodynamic limits for this model. Previous literature was restricted to dimension n = 3 only and relied on parametrizations of the rotation group that are only valid in dimension 3. To extend the result to arbitrary dimensions n ≥ 3, we develop a different strategy based on Lie group representations and the Weyl integration formula. These… 

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