3 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
Deterministic and Stochastic Becker-Döring equations: Past and Recent Mathematical Developments
Erwan Hingant, Romain Yvinec
We present a survey on the results on a particular coagulation-fragmentation model given by the Becker-Döring equations. For both the deterministic and stochastic versions, we incl…
Boundary value for a nonlinear transport equation emerging from a stochastic coagulation-fragmentation type model
Julien Deschamps, Erwan Hingant, Romain Yvinec
We investigate the connection between two classical models of phase transition phenomena, the (discrete size) stochastic Becker-Döring, a continous time Markov chain model, and the…
Adiabatic reduction of a model of stochastic gene expression with jump Markov process
Romain Yvinec, Changjing Zhuge, Jinzhi Lei +1
This paper considers adiabatic reduction in a model of stochastic gene expression with bursting transcription considered as a jump Markov process. In this model, the process of gen…