BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Memory and hypoellipticity in neuronal models Löcherbach, Eva


I will discuss the effect of memory in two classical models of neuroscience, first the stochastic Hodgkin-Huxley model, considered in a series of papers by R. Höpfner, M. Thieullen and myself, and second, a model of interacting Hawkes processes in high dimension which has been studied recently by S. Ditlevsen and myself. I will explain why memory leads to hypoellipticity and then discuss the probabilistic and statistical consequences of this fact.

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