34 citations · 43 across the 9 of their papers we have counts for
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math.PR2014
Simulation of SPDE's for Excitable Media using Finite Elements
Boulakia Muriel, Genadot Alexandre, Thieullen Michèle
In this paper, we address the question of the discretization of Stochastic Partial Differential Equations (SPDE's) for excitable media. Working with SPDE's driven by colored noise,…
math.PR2014★ 1 cited
A multi-scale study of a class of hybrid predator-prey models
Alexandre Genadot
We address the question of an averaging principle for a general class of multi-scale hybrid predator-prey models. We consider prey-predator models where the kinetic of the prey pop…
math.PR2014
Spatio-temporal averaging for a class of hybrid systems. Application to conductance-based neuron models
Alexandre Genadot
We obtain a limit theorem endowed with quantitative estimates for a general class of infinite dimensional hybrid processes with intrinsically two different time scales and includin…