du 23 septembre 2021 au 24 septembre 2021
Publié le 12 juillet 2021 Mis à jour le 10 septembre 2021

Séminaire de Matteo Di Volo

Séminaire
Séminaire

Reduction Methodology for Fluctuation Driven Population Dynamics

Jeudi 23 septembre, 14h00 (en distanciel sur Microsoft Teams) ( Team CY Warwick Theoretical Physics )

Reduction Methodology for Fluctuation Driven Population Dynamics

Matteo DI VOLO
(LPTM CY CPU)

Lorentzian distributions have been largely employed in statistical mechanics to obtain exact results for heterogeneous systems. Analytic continuation of these results is impossible even for slightly deformed Lorentzian distributions due to the divergence of all the moments (cumulants). We have solved this problem by introducing a “pseudocumulants” expansion. This allows us to develop a reduction methodology for heterogeneous spiking neural networks subject to extrinsic and endogenous fluctuations, thus obtaining a unified mean-field formulation encompassing quenched and dynamical sources of disorder.


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