163 citations · 415 across the 19 of their papers we have counts for
20 papers
Asymmetric autocatalytic reactions and their stationary distribution
Cameron Gallinger, Lea Popovic
We consider a general class of autocatalytic reactions, that has been shown to display stochastically switching behaviour (Discreteness Induced Transitions) in some parameter regim…
Large Deviations for Additive Functionals of Reflected Jump-Diffusions
Lea Popovic, Giovanni Zoroddu
We consider a jump-diffusion process on a bounded domain with reflection at the boundary, and establish long-term results for a general additive process of its path. This includes…
A spatial measure-valued model for chemical reaction networks in heterogeneous systems
Lea Popovic, Amandine Veber
We propose a novel measure valued process which models the behaviour of chemical reaction networks in spatially heterogeneous systems. It models reaction dynamics between different…
Difffusion Dynamics on the Coexistence Subspace in a Stochastic Evolutionary Game
Lea Popovic, Liam Peuckert
Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the sp…
Large deviations of Markov chains with multiple time-scales
Lea Popovic
For Markov processes evolving on multiple time-scales a combination of large component scalings and averaging of rapid fluctuations can lead to useful limits for model approximatio…
Large deviations for multi-scale jump-diffusion processes
Rohini Kumar, Lea Popovic
We obtain large deviation results for a two time-scale model of jump-diffusion processes. The processes on the two time scales are fully inter-dependent, the slow process has small…