4 papers
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,…
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…