601 Pao Yue-Kong Library
In this talk I will present my recent result about a stochastic neural field model that aims to describe the spiking activities of a small piece of cortex. Neurons in this model have a very simple version of integrate-and-fire dynamics, which makes the model mathematically tractable. At the same time, this model can produce very rich spiking patterns ranging from time-homogeneous spiking to fully synchronized spike volleys. I will present various rigorous and numerical results related to this model, including the stochastic stability, the mean-field approximations and their discrepancies, and the spatial correlation of spike counts.