Gr'egoire V'echambre

collaborators

2 papers

math.PR2026

Stochastic flows and Poisson representations for the block masses of the $I^$ -coalescent with dust : moment asymptotics and large deviation estimates

GrÃ©goire VÃ©chambre

We develop a new methodology for the study of the $I^$ -coalescent with dust, based on the construction of a stochastic flow of inverses, introduced by Bertoin and Le Gall [Ann. ins…

math.PR2025

Large deviation principle for the absorption time of the Beta-coalescent via integral functionals

We study some aspects of the absorption time of the Beta $(a, b)$ -Coalescent starting with $n$ blocks. More precisely, when $a > 1$ , the absorption time is known to converge to infinit…

Stochastic flows and Poisson representations for the block masses of the I^-coalescent with dust : moment asymptotics and large deviation estimates

Large deviation principle for the absorption time of the Beta-coalescent via integral functionals

Stochastic flows and Poisson representations for the block masses of the $I^$ -coalescent with dust : moment asymptotics and large deviation estimates