Neutron Transport Equation

Stochastic Methods for Neutron Transport Equation III: Generational many-to-one and $\texttt{k}_{eff}$
The Neutron Transport Equation (NTE) describes the flux of neutrons over time through an inhomogeneous fissile medium. In the recent …
Alex Cox, Emma Horton, Andreas Kyprianou, Denis Villemonais
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Stochastic Methods for the Neutron Transport Equation I: Linear Semigroup asymptotics
The Neutron Transport Equation (NTE) describes the flux of neutrons through an inhomogeneous fissile medium. In this paper, we …
Emma Horton, Andreas Kyprianou, Denis Villemonais
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Exponential convergence to quasi-stationary distribution and $Q$-process
For general, almost surely absorbed Markov processes, we obtain necessary and sufficient conditions for exponential convergence to a …
Nicolas Champagnat, Denis Villemonais
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