122 citations · 748 across the 40 of their papers we have counts for
4 papers · 1 filter
Semi-infinite paths of the 2d-Radial Spanning Tree
François Baccelli, David Coupier, Viet Chi Tran
We study semi-infinite paths of the radial spanning tree (RST) of a Poisson point process in the plane. We first show that the expectation of the number of intersection points betw…
Daphnias: from the individual based model to the large population equation
J. A. J. Metz, Viet Chi Tran
The class of deterministic 'Daphnia' models treated by Diekmann et al. (J Math Biol 61: 277-318, 2010) has a long history going back to Nisbet and Gurney (Theor Pop Biol 23: 114-13…
A new proof for the convergence of an individual based model to the Trait substitution sequence
Ankit Gupta, J. A. J. Metz, Viet Chi Tran
We consider a continuous time stochastic individual based model for a population structured only by an inherited vector trait and with logistic interactions. We consider its limit…
Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant
Pauline Lafitte-Godillon, Kilian Raschel, Viet Chi Tran
In this paper, we study a flower population in which self-reproduction is not permitted. Individuals are diploid, {that is, each cell contains two sets of chromosomes}, and {distyl…