Large Deviations, Dynamics and Phase Transitions in Large Stochastic and Disordered Neural Networks

  title={Large Deviations, Dynamics and Phase Transitions in Large Stochastic and Disordered Neural Networks},
  author={Tanguy Cabana and J. Touboul},
  journal={Journal of Statistical Physics},
  • Tanguy Cabana, J. Touboul
  • Published 2013
  • Mathematics, Physics
  • Journal of Statistical Physics
  • Neuronal networks are characterized by highly heterogeneous connectivity, and this disorder was recently related experimentally to qualitative properties of the network. The motivation of this paper is to mathematically analyze the role of these disordered connectivities on the large-scale properties of neuronal networks. To this end, we analyze here large-scale limit behaviors of neural networks including, for biological relevance, multiple populations, random connectivities and interaction… CONTINUE READING

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