Eva Löcherbach

Université de Cergy-Pontoise | France

Short Biography

Eva Löcherbach is professor of mathematics at the Laboratoire d'Analyse, Géométrie et Modélisation of the university of Cergy-Pontoise since 2010. She is working on probability theory with particular interest in limit theorems for Markov processes, the control of speed of convergence to equilibrium, interacting particle systems with interactions and/or memory of variable length and statistics of stochastic processes. In the last years she got interested in probabilistic models in neurosciences. In particular, she worked on the ergodicity properties of the stochastic Hodgkin-Huxley model describing the spiking behavior of a single neuronal cell. In the last time, her research interests are mainly focused on the study of  huge or infinite systems of interacting point processes with memory of variable length describing the spiking behavior of neurons. For such systems, she proved existence and perfect simulation results, she studied mean-field limits and the long time behavior of the associated non-linear limit systems, including the emergence of self-sustained oscillatory behavior,  as well as important statistical issues such as the estimation of the spiking rate or the estimation of the underlying interaction graph.