4 papers
On the Meaning of Urban Scaling
Ulysse Marquis, Marc Barthelemy
Cities are often compared through scaling laws, usually expressed as power-law relations between population size and aggregate urban quantities related to infrastructure, socioecon…
FKPP fronts in quenched random media
Ulysse Marquis, Henri Berestycki, Marc Barthelemy
We study numerically the evolution of one-dimensional FKPP fronts initiated from steep initial conditions in the presence of a quenched random growth rate. Compared to both the hom…
Why urban heterogeneity limits the 15-minute city
Marc Barthelemy
The `15-minute city' has emerged as a central paradigm in urban planning, promoting universal access to work and essential services within short travel times. Its feasibility-parti…
Mathematical modeling of urban sprawl
Marc Barthelemy, Ulysse Marquis
Urban land cover doubled between 1985 and 2015, yet the spatial dynamics of urban form remain under-quantified, despite its importance for sustainability, infrastructure planning,…