10 citations · 16 across the 4 of their papers we have counts for
5 papers
Markov Chain Aggregation for Simple Agent-Based Models on Symmetric Networks: The Voter Model
Sven Banisch, Ricardo Lima
For Agent Based Models, in particular the Voter Model (VM), a general framework of aggregation is developed which exploits the symmetries of the agent network . Depending on the…
Aggregation and Emergence in Agent-Based Models: A Markov Chain Approach
Sven Banisch, Ricardo Lima, Tanya Araújo
We analyze the dynamics of agent--based models (ABMs) from a Markovian perspective and derive explicit statements about the possibility of linking a microscopic agent model to the…
Agent Based Models and Opinion Dynamics as Markov Chains
Sven Banisch, Ricardo Lima, Tanya Araújo
This paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM). By viewing the ABM…
Discrete time piecewise affine models of genetic regulatory networks
Ricardo Coutinho, Bastien Fernandez, Ricardo Lima +1
We introduce simple models of genetic regulatory networks and we proceed to the mathematical analysis of their dynamics. The models are discrete time dynamical systems generated by…
Homogeneous and Scalable Gene Expression Regulatory Networks with Random Layouts of Switching Parameters
D. Volchenkov, R. Lima
We consider a model of large regulatory gene expression networks where the thresholds activating the sigmoidal interactions between genes and the signs of these interactions are sh…