17 citations · 18 across the 9 of their papers we have counts for
10 papers
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…
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…
Moment closure through spectral expansion in open stochastic systems
Gianni Valerio Vinci, Roberto Benzi, Maurizio Mattia
The derivation of dynamical laws for general observables (or moments) from the master equation for the probability distribution remains a challenging problem in statistical physics…
Self-consistent moment dynamics for networks of spiking neurons
Gianni Valerio Vinci, Roberto Benzi, Maurizio Mattia
A novel approach to moment closure problem is used to derive low dimensional laws for the dynamics of the moments of the membrane potential distribution in a population of spiking…
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…
Non-linear correlations underlie linear response and causality
Gabriele Di Antonio, Gianni Valerio Vinci
The inference of causal relationships among observed variables is a pivotal, longstanding problem in the scientific community. An intuitive method for quantifying these causal link…
Escape time in bistable neuronal populations driven by colored synaptic noise
Gianni Valerio Vinci, Maurizio Mattia
Local networks of neurons are nonlinear systems driven by synaptic currents elicited by its own spiking activity and the input received from other brain areas. Synaptic currents ar…
The Rise of Rationality in Blockchain Dynamics
Gabriele Di Antonio, Gianni Valerio Vinci, Luciano Pietronero +1
Taking informed decisions, namely acting rationally, is an individual attitude of paramount relevance in nature and human societies. In this work, we study how rationality spreads…
Self-consistent stochastic dynamics for finite-size networks of spiking neurons
Gianni V. Vinci, Roberto Benzi, Maurizio Mattia
Despite the huge number of neurons composing a brain network, ongoing activity of local cell assemblies composing cortical columns is intrinsically stochastic. Fluctuations in thei…
A `Rosetta stone' for the population dynamics of spiking neuron networks
Gianni V. Vinci, Maurizio Mattia
Populations of spiking neuron models have densities of their microscopic variables (e.g., single-cell membrane potentials) whose evolution fully capture the collective dynamics of…