Lucie Laurence

activity

20232026

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math.PR2024

Analysis of Stochastic Chemical Reaction Networks with a Hierarchy of Timescales

Lucie Laurence, Philippe Robert

We investigate a class of stochastic chemical reaction networks with $n \geq 1$ chemical species $S_{1}$ , \ldots, $S_{n}$ , and whose complexes are only of the form $k_{i} S_{i}$ , $i = 1$ ,\ld…

math.PR2024

Stochastic Chemical Reaction Networks with Discontinuous Limits and AIMD processes

Lucie Laurence, Philippe Robert

In this paper we study a class of stochastic chemical reaction networks (CRNs) for which chemical species are created by a sequence of chain reactions. We prove that under some con…