22 citations · 117 across the 22 of their papers we have counts for
18 papers · 1 filter
Thermodynamical limits for models of car-sharing systems: the Autolib example
Guy Fayolle, Christine Fricker
We analyze mean-field equations obtained for models motivated by a large station-based car-sharing system in France called Autolib. The main focus is on a version where users reser…
Stationary Brownian motion in a 3/4-plane: Reduction to a Riemann-Hilbert problem via Fourier transforms
Guy Fayolle, Sandro Franceschi, Kilian Raschel
The stationary reflected Brownian motion in a three-quarter plane has been rarely analyzed in the probabilistic literature, in comparison with the quarter plane analogue model. In…
On the stationary distribution of reflected Brownian motion in a non-convex wedge
Guy Fayolle, Sandro Franceschi, Kilian Raschel
We study the stationary reflected Brownian motion in a non-convex wedge, which, compared to its convex analogue model, has been much rarely analyzed in the probabilistic literature…
Functional equations as an important analytic method in stochastic modelling and in combinatorics
Guy Fayolle
Functional equations (FE) arise quite naturally in the analysis of stochastic systems of different kinds : queueing and telecommunication networks, random walks, enumeration of pla…
Random Walks in the Quarter-Plane: Advances in Explicit Criterions for the Finiteness of the Associated Group in the Genus 1 Case
Guy Fayolle, Roudolf Iasnogorodski
In the book [FIM], original methods were proposed to determine the invariant measure of random walks in the quarter plane with small jumps, the general solution being obtained via…
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps
Guy Fayolle, Kilian Raschel
In this note, we consider random walks in the quarter plane with arbitrary big jumps. We announce the extension to that class of models of the analytic approach of [G. Fayolle, R.…