[HTML][HTML] Multi-class oscillating systems of interacting neurons
S Ditlevsen, E Löcherbach - Stochastic Processes and their Applications, 2017 - Elsevier
We consider multi-class systems of interacting nonlinear Hawkes processes modeling
several large families of neurons and study their mean field limits. As the total number of …
several large families of neurons and study their mean field limits. As the total number of …
Dimension reduction of noisy interacting systems
We consider a class of models describing an ensemble of identical interacting agents
subject to multiplicative noise. In the thermodynamic limit, these systems exhibit continuous …
subject to multiplicative noise. In the thermodynamic limit, these systems exhibit continuous …
Interacting Hawkes processes with multiplicative inhibition
In the present work, we introduce a general class of mean-field interacting nonlinear
Hawkes processes modeling the reciprocal interactions between two neuronal populations …
Hawkes processes modeling the reciprocal interactions between two neuronal populations …
Mathematical modelling of decision making: the case of motor insurance choices
This paper employs a statistical mechanical model as a framework to investigate how
socioeconomic factors of individuals such as gender and place of residence influence their …
socioeconomic factors of individuals such as gender and place of residence influence their …
Rhythmic behavior in a two-population mean-field Ising model
F Collet, M Formentin, D Tovazzi - Physical Review E, 2016 - APS
Many real systems composed of a large number of interacting components, as, for instance,
neural networks, may exhibit collective periodic behavior even though single components …
neural networks, may exhibit collective periodic behavior even though single components …
Exploring cooking fuel choices among Ghanaian women of reproductive age: A socio-economic analysis from a statistical mechanics perspective
Access to clean and efficient cooking fuel is crucial for promoting good health, safeguarding
the environment, and driving economic growth. Despite efforts to promote the adoption of …
the environment, and driving economic growth. Despite efforts to promote the adoption of …
The relationship between anaemia and the use of treated bed nets among pregnant and non-pregnant women in Ghana
Studies have indicated that the risk of malaria, particularly its association with anaemia in
pregnant women, increases when treated bed nets are not used. This paper utilizes a …
pregnant women, increases when treated bed nets are not used. This paper utilizes a …
Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction: a slow-fast dynamics approach
We consider the long-time dynamics of a general class of nonlinear Fokker–Planck
equations, describing the large population behavior of mean-field interacting units. The main …
equations, describing the large population behavior of mean-field interacting units. The main …
[HTML][HTML] Synchronization and functional central limit theorems for interacting reinforced random walks
Abstract We obtain Central Limit Theorems in Functional form for a class of time-
inhomogeneous interacting random walks. Due to a reinforcement mechanism and …
inhomogeneous interacting random walks. Due to a reinforcement mechanism and …
Oscillatory behavior in a model of non-Markovian mean field interacting spins
We analyze a non-Markovian mean field interacting spin system, related to the Curie–Weiss
model. We relax the Markovianity assumption by replacing the memoryless distribution of …
model. We relax the Markovianity assumption by replacing the memoryless distribution of …