Random replicators with asymmetric couplings

@article{Galla2005RandomRW,
  title={Random replicators with asymmetric couplings},
  author={Tobias Galla},
  journal={Journal of Physics A},
  year={2005},
  volume={39},
  pages={3853-3869}
}
  • T. Galla
  • Published 6 August 2005
  • Physics
  • Journal of Physics A
Systems of interacting random replicators are studied using generating functional techniques. While replica analyses of such models are limited to systems with symmetric couplings, dynamical approaches as presented here allow us specifically to address cases with asymmetric interactions where there is no Lyapunov function governing the dynamics. We focus on replicator models with Gaussian couplings of general symmetry between p ≥ 2 species, and discuss how an effective description of the… 

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