Thermodynamic Formalism in Neuronal Dynamics and Spike Train Statistics

摘要: The Thermodynamic Formalism provides a rigorous mathematical framework to study quantitative and qualitative aspects of dynamical systems. At its core there is variational principle corresponding, in simplest form, the Maximum Entropy principle. It used as statistical inference procedure represent, by specific probability measures (Gibbs measures), collective behaviour complex This has found applications different domains science. In particular, it been fruitful influential neurosciences. this article, we review how can be exploited field theoretical neuroscience, conceptual operational tool, link dynamics interacting neurons statistics action potentials from either experimental data or models. We comment on perspectives open problems neuroscience that could addressed within formalism.