68 citations · 297 across the 23 of their papers we have counts for
5 papers · 1 filter
A predator-prey SIR type dynamics on large complete graphs with three phase transitions
Igor Kortchemski
We are interested in a variation of the SIR (Susceptible/Infected/Recovered) dynamics on the complete graph, in which infected individuals may only spread to neighboring susceptibl…
Predator-prey dynamics on infinite trees: a branching random walk approach
Igor Kortchemski
We are interested in predator-prey dynamics on infinite trees, which can informally be seen as particular two-type branching processes where individuals may die (or be infected) on…
Percolation on random triangulations and stable looptrees
Nicolas Curien, Igor Kortchemski
We study site percolation on Angel & Schramm's uniform infinite planar triangulation. We compute several critical and near-critical exponents, and describe the scaling limit of the…
The CRT is the scaling limit of random dissections
Nicolas Curien, Bénédicte Haas, Igor Kortchemski
We study the graph structure of large random dissections of polygons sampled according to Boltzmann weights, which encompasses the case of uniform dissections or uniform -angula…
Random stable looptrees
Nicolas Curien, Igor Kortchemski
We introduce a class of random compact metric spaces L(α) indexed by α\in (1,2) and which we call stable looptrees. They are made of a collection of random loops glued together alo…