10 papers
Invasion with size-dependent dispersion range
Ulysse Marquis
The coalescing colony model provides a minimal framework for biological invasions with long-range dispersion. In its standard formulation, the dispersion range is assumed independe…
Spectral properties of non-Hermitian real random matrices with long-range correlations
Ulysse Marquis
We investigate the spectral properties of non-Hermitian real random matrices whose entries exhibit long-range correlations decaying as~. We find a progressive breakdow…
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…
Beyond dynamic scaling: rare events break universality
Ulysse Marquis, Riccardo Gallotti, Marc Barthelemy
Surface growth driven by non-monomeric deposition has remained largely unexplored. We investigate a model based on the deposition of blobs with a power-law size distribution $P(s)\…
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,…
Urban scaling and the dynamics of individual cities
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…
Diffusive geodesics wandering in networks of rigid chains
Ulysse Marquis
We introduce an ensemble of spatial networks built from the junctions of hindered-rotation chains, incorporating directional correlations between bonds, an aspect ignored in the st…
Modeling the spatial growth of cities
Ulysse Marquis, Marc Barthelemy
The growth of cities has traditionally been studied from a population perspective, while urban expansion-its spatial growth-has often been approached qualitatively. However, charac…
Scale-free Points-of-Interest Distribution in a City Emerging from Homogeneous Poissonian-point Processes
Eleonora Andreotti, Ulysse Marquis, Maurizio napolitano +1
Urban systems often exhibit scale-invariant properties, with power-law distributions observed in various spatial and temporal patterns of human behavior. A prominent example is the…
Universal roughness and the dynamics of urban expansion
Ulysse Marquis, Oriol Artime, Riccardo Gallotti +1
Urban sprawl reshapes cities, yet its quantitative laws remain elusive. Analyzing built-up expansion in 19 cities (1985-2015) with tools from surface growth physics in radial geome…