3 papers
math.DS2025
Contraction and concentration of measures with applications to theoretical neuroscience
Simone Betteti, Francesco Bullo
We investigate the asymptotic behavior of probability measures associated with stochastic dynamical systems featuring either globally contracting or -contracting drift terms…
q-bio.NC2024
Firing Rate Models as Associative Memory: Excitatory-Inhibitory Balance for Robust Retrieval
Simone Betteti, Giacomo Baggio, Francesco Bullo +1
Firing rate models are dynamical systems widely used in applied and theoretical neuroscience to describe local cortical dynamics in neuronal populations. By providing a macroscopic…
q-bio.NC2024
Input-Driven Dynamics for Robust Memory Retrieval in Hopfield Networks
Simone Betteti, Giacomo Baggio, Francesco Bullo +1
The Hopfield model provides a mathematically idealized yet insightful framework for understanding the mechanisms of memory storage and retrieval in the human brain. This model has…