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math.PR2023
On evolution equations with white-noise boundary conditions
Mohamed Fkirine, Said Hadd, Abdelaziz Rhandi
In this paper, we delve into the study of evolution equations that exhibit white-noise boundary conditions. Our primary focus is to establish a necessary and sufficient condition f…
math.PR2014★ 7 cited
A multispecies birth-death-immigration process and its diffusion approximation
Antonio Di Crescenzo, Barbara Martinucci, Abdelaziz Rhandi
We consider an extended birth-death-immigration process defined on a lattice formed by the integers of semiaxes joined at the origin. When the process reaches the origin, then…