Stochastic stability of a system of perfect integrate-and-fire inhibitory neurons
DOI10.33048/SEMI.2020.17.072zbMath1447.60009arXiv1809.08878OpenAlexW3116576117MaRDI QIDQ779161
Timofeĭ Vycheslavovich Prasolov
Publication date: 21 July 2020
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.08878
Processes with independent increments; Lévy processes (60G51) Neural networks for/in biological studies, artificial life and related topics (92B20) Convergence of probability measures (60B10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the dynamics of random neuronal networks
- Mathematical analysis of a neural network with inhibitory coupling
- Analysis of nonlinear noisy integrate \& fire neuron models: blow-up and steady states
- Hydrodynamic limit for interacting neurons
- Global solvability of a networked integrate-and-fire model of McKean-Vlasov type
- Ergodicity of stochastic processes describing the operation of open queueing networks
- A review of the integrate-and-fire neuron model: II. Inhomogeneous synaptic input and network properties
- A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input
- Exact Event-Driven Implementation for Recurrent Networks of Stochastic Perfect Integrate-and-Fire Neurons
- Mean-Field Limit of a Stochastic Particle System Smoothly Interacting Through Threshold Hitting-Times and Applications to Neural Networks with Dendritic Component
- AN OVERVIEW OF SOME STOCHASTIC STABILITY METHODS(<Special Issue>Network Design, Control and Optimization)
- Applied Probability and Queues
- Spiking Neuron Models
This page was built for publication: Stochastic stability of a system of perfect integrate-and-fire inhibitory neurons
