3 papers
q-bio.NC2026
Spectral theory for population density dynamics of spiking neurons with refractoriness
Luca Falorsi, Gianni Valerio Vinci., Maurizio Mattia
Incorporating an absolute refractory period into the population density approach for spiking neurons remains an open problem, despite evidence that refractoriness can strongly affe…
cond-mat.dis-nn2025
Non-stationary dynamics of interspike intervals in neuronal populations
Luca Falorsi, Gianni V. Vinci, Maurizio Mattia
We study the joint dynamics of membrane potential and time since the last spike in a population of integrate-and-fire neurons using a population density framework. This leads to a…
cond-mat.dis-nn2025
Beyond catastrophic forgetting in associative networks with self-interactions
Gianni V. Vinci, Andrea Galluzzi, Maurizio Mattia
Spin-glass models of associative memories are a cornerstone between statistical physics and theoretical neuroscience. In these networks, stochastic spin-like units interact through…