activity
19982021
most citedLarge graph limit for an SIR process in random network with heterogeneous connectivity

86 citations · 126 across the 10 of their papers we have counts for

collaborators

13 papers

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.PR2018

Asymptotic for the cumulative distribution function of the degrees and homomorphism densities for random graphs sampled from a graphon

Jean-François Delmas, Jean-Stéphane Dhersin, Marion Sciauveau

We give asymptotics for the cumulative distribution function (CDF) for degrees of large dense random graphs sampled from a graphon. The proof is based on precise asymptotics for bi…

math.CO2016

Cost functionals for large (uniform and simply generated) random trees

Jean-François Delmas, Jean-Stéphane Dhersin, Marion Sciauveau

Additive tree functionals allow to represent the cost of many divide-and-conquer algorithms. We give an invariance principle for such tree functionals for the Catalan model (random…

q-bio.PE2016★ 1 cited

Inferring in emerging epidemics - the effect of common population structure is small

Pieter Trapman, Frank Ball, Jean-Stéphane Dhersin +3

When controlling an emerging outbreak of an infectious disease it is essential to know the key epidemiological parameters, such as the basic reproduction number and the contr…

q-bio.PE2015

Impact of a treatment as prevention strategy on hepatitis C virus transmission and on morbidity in people who inject drugs

Anthony Cousien, Viet Chi Tran, Sylvie Deuffic-Burban +3

Background: Highly effective direct-acting antiviral (DAA) regimens (90% efficacy) are becoming available for hepatitis C virus (HCV) treatment. This therapeutic revolution leads u…

stat.AP2013★ 27 cited

Dynamic modelling of hepatitis C virus transmission among people who inject drugs: a methodological review

Anthony Cousien, Viet Chi Tran, Sylvie Deuffic-Burban +3

Equipment sharing among people who inject drugs (PWID) is a key risk factor in infection by hepatitis C virus (HCV). Both the effectiveness and cost-effectiveness of interventions…