327 citations · 566 across the 27 of their papers we have counts for
4 papers · 1 filter
Stability of a Stochastic Model for Demand-Response
Jean-Yves Le Boudec, Dan-Cristian Tomozei
We study the stability of a Markovian model of electricity production and consumption that incorporates production volatility due to renewables and uncertainty about actual demand…
The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points
Jean-Yves Le Boudec
Assume that a stochastic processes can be approximated, when some scale parameter gets large, by a fluid limit (also called "mean field limit", or "hydrodynamic limit"). A common p…
The Bounded Confidence Model Of Opinion Dynamics
Javier Gómez-Serrano, Carl Graham, Jean-Yves Le Boudec
The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers…
Mean field for Markov Decision Processes: from Discrete to Continuous Optimization
Nicolas Gast, Bruno Gaujal, Jean-Yves Le Boudec
We study the convergence of Markov Decision Processes made of a large number of objects to optimization problems on ordinary differential equations (ODE). We show that the optimal…