3 papers
math.PR2026
Asymptotics of Parking Search in Hyperfractal Networks
Geoffrey Deperle, Christine Fricker, Philippe Jacquet +2
We study the asymptotic behaviour of the distance to the first available parking slot in a recursive Manhattan street network endowed with a hyperfractal intensity structure, where…
math.PR2025
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…
math.PR2024
Mean field analysis of stochastic networks with reservation
Christine Fricker, Hanene Mohamed
The problem of reservation in a large distributed system is analyzed via a new mathematical model. A typical application is a station-based car-sharing system which can be describe…