Statistics of spike trains: A dynamical systems perspective

Bruno Cessac (1, 2) , Horacio Rostro (1) , Juan-Carlos Vasquez (3) , Thierry Viéville (4)

1 NEUROMATHCOMP - Neurosciences Mathématique et Computationnelle
2 LJAD - Laboratoire Jean Alexandre Dieudonné
3 Donders Institute for Brain, Cognition and Behaviour
4 CORTEX - Neuromimetic intelligence

We review recent results dealing with the analysis of spike train statistics in neural networks models, using methods from dynamical systems (thermodynamic formalism). We discuss why Gibbs distributions are natural candidates and present some consequences at the theoretical and algorithmic level.

Domaines: Mathématiques générales [math.GM]

Bruno Cessac, Horacio Rostro, Juan-Carlos Vasquez, Thierry Viéville. Statistics of spike trains: A dynamical systems perspective. Stochastic models in neuroscience, Jan 2010, Marseille, France. ⟨hal-00847435⟩