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20072022
most citedStochastic epidemics in a heterogeneous community (Part III of the book Stochastic Epidemic Models and Inference)

122 citations · 318 across the 10 of their papers we have counts for

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math.PR2022

Time reversal of spinal processes for linear and non-linear branching processes near stationarity

Benoît Henry, Sylvie Méléard, Viet Chi Tran

We consider a stochastic individual-based population model with competition, trait-structure affecting reproduction and survival, and changing environment. The changes of traits ar…

math.PR2021

Dynamics of lineages in adaptation to a gradual environmental change

Vincent Calvez, Benoît Henry, Sylvie Méléard +1

We investigate a simple quantitative genetics model subjet to a gradual environmental change from the viewpoint of the phylogenies of the living individuals. We aim to understand b…

math.PR2021

Respondent Driven Sampling on sparse Erdös-Rényi graphs

Anthony Cousien, Jean-Stéphane Dhersin, Viet Chi Tran +1

We study the exploration of an Erdös-Rényi random graph by a respondent-driven sampling method, where discovered vertices reveal their neighbours. Some of them receive coupons to r…

math.PR2020

Statistical deconvolution of the free Fokker-Planck equation at fixed time

Mylène Maïda, Tien Dat Nguyen, Thanh Mai Pham Ngoc +2

We are interested in reconstructing the initial condition of a non-linear partial differential equation (PDE), namely the Fokker-Planck equation, from the observation of a Dyson Br…

math.PR2020122 cited

Statistical inference for epidemic processes in a homogeneous community (Part IV of the book Stochastic Epidemic Models and Inference)

Catherine Larédo, Viet Chi Tran

This document is the Part IV of the book 'Stochastic Epidemic Models with Inference' edited by Tom Britton and Etienne Pardoux. It is written by Catherine Larédo, with the contribu…

math.PR2020122 cited

Stochastic epidemics in a heterogeneous community (Part III of the book Stochastic Epidemic Models and Inference)

Viet Chi Tran

This document is the Part III of the book 'Stochastic Epidemic Models with Inference' edited by Tom Britton and Etienne Pardoux. Plan of the chapter: 1) Random Graphs, 2) The Repro…