Abstract
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.
- Received 21 December 2020
- Revised 24 March 2021
- Accepted 14 June 2021
DOI:https://doi.org/10.1103/PhysRevLett.127.038301
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