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吴文俊数学重点实验室 Dynamical Systems Seminar【李尧】

报告题目:Neuron field models: beyond the mean-field approximation

报告人:李尧  , University of Massachusetts Amherst

时间:5月23日(星期三)下午4:00--5:00

地点:管研楼数学学院1518教室

摘要: 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. 

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