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math.PR2020★ 3 cited
Quasi-stationary distribution and metastability for the stochastic Becker-Döring model
Erwan Hingant, Romain Yvinec
We study a stochastic version of the classical Becker-Döring model, a well-known kinetic model for cluster formation that predicts the existence of a long-lived metastable state be…
math.PR2018
The Becker-Döring process: pathwise convergence and phase transition phenomena
Erwan Hingant, Romain Yvinec
In this note, we study an infinite reaction network called the stochastic Becker-Döring process, a sub-class of the general coagulation-fragmentation models. We prove pathwise conv…
math.PR2013★ 1 cited
Adiabatic reduction of models of stochastic gene expression with bursting
Romain Yvinec
This paper considers adiabatic reduction in both discrete and continuous models of stochastic gene expression. In gene expression models, the concept of bursting is a production of…