Abstract
The FitzHugh–Nagumo is a well-known neuronal model that describes the generation of spikes at the intracellular level. We study a stochastic version of the model from a probabilistic point of view. The hypoellipticity is proved, as well as the existence and uniqueness of the stationary distribution. The bi-dimensional stochastic process is
Citation
José R. León. Adeline Samson. "Hypoelliptic stochastic FitzHugh–Nagumo neuronal model: Mixing, up-crossing and estimation of the spike rate." Ann. Appl. Probab. 28 (4) 2243 - 2274, August 2018. https://doi.org/10.1214/17-AAP1355
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