122 citations · 748 across the 40 of their papers we have counts for
5 papers · 1 filter
A general stochastic model for sporophytic self-incompatibility
Sylvain Billiard, Viet Chi Tran
Disentangling the processes leading populations to extinction is a major topic in ecology and conservation biology. The difficulty to find a mate in many species is one of these pr…
The 2d-Directed Spanning Forest is almost surely a tree
David Coupier, Viet Chi Tran
We consider the Directed Spanning Forest (DSF) constructed as follows: given a Poisson point process N on the plane, the ancestor of each point is the nearest vertex of N having a…
Large graph limit for an SIR process in random network with heterogeneous connectivity
Laurent Decreusefond, Jean-Stéphane Dhersin, Pascal Moyal +1
We consider an SIR epidemic model propagating on a configuration model network, where the degree distribution of the vertices is given and where the edges are randomly matched. The…
Level sets estimation and Vorob'ev expectation of random compact sets
Philippe Heinrich, Radu Stefan Stoica, Viet Chi Tran
The issue of a "mean shape" of a random set often arises, in particular in image analysis and pattern detection. There is no canonical definition but one possible approach is t…
Branching Feller diffusion for cell division with parasite infection
Vincent Bansaye, Viet Chi Tran
We describe the evolution of the quantity of parasites in a population of cells which divide in continuous-time. The quantity of parasites in a cell follows a Feller diffusion, whi…