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This article addresses the homogenization of linear Boltzmann equation whenthe optical parameters are highly heterogeneous in the energy variable. Weemploy the method of two-scale convergence to arrive at the homogenizationresult. In doing so, we show the induction of a memory effect in thehomogenization limit. We also provide some numerical experiments to illustrateour results. In the Appendix, we treat a related case of the harmonicoscillator.

Homogenization in the energy variable for a neutron transport model