165 citations · 1.1k across the 38 of their papers we have counts for
4 papers · 1 filter
Effective dimensional reduction of complex systems based on tensor networks
Wout Merbis, Madelon Geurts, Clélia de Mulatier +1
The exact treatment of Markovian models of complex systems requires knowledge of probability distributions exponentially large in the number of components . Mean-field approxima…
Field theories and quantum methods for stochastic reaction-diffusion systems
Mauricio J. del Razo, Tommaso Lamma, Wout Merbis
Complex systems are composed of many particles or agents that move and interact with one another. The underlying mathematical framework to model many of these systems must incorpor…
Efficient simulations of epidemic models with tensor networks: application to the one-dimensional SIS model
Wout Merbis, Clélia de Mulatier, Philippe Corboz
The contact process is an emblematic model of a non-equilibrium system, containing a phase transition between inactive and active dynamical regimes. In the epidemiological context,…
Logistic growth on networks: exact solutions for the SI model
Wout Merbis, Ivano Lodato
The SI model is the most basic of all compartmental models used to describe the spreading of information through a population. Despite its apparent simplicity, the analytic solutio…