Stochastic Neutron Transport
Andreas E. Kyprianou, Emma Horton
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Springer International Publishing
Naturwissenschaften, Medizin, Informatik, Technik / Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
Beschreibung
This monograph highlights the connection between the theory of neutron transport and the theory of non-local branching processes. By detailing this frequently overlooked relationship, the authors provide readers an entry point into several active areas, particularly applications related to general radiation transport. Cutting-edge research published in recent years is collected here for convenient reference. Organized into two parts, the first offers a modern perspective on the relationship between the neutron branching process (NBP) and the neutron transport equation (NTE), as well as some of the core results concerning the growth and spread of mass of the NBP. The second part generalizes some of the theory put forward in the first, offering proofs in a broader context in order to show why NBPs are as malleable as they appear to be. Stochastic Neutron Transport will be a valuable resource for probabilists, and may also be of interest to numerical analysts and engineersin the field of nuclear research.
Kundenbewertungen
Monte Carlo simulation, Neutron fission modeling, Martingales, Boltzman transport equation, Non-local branching processes, Neutron transport equations, Classical neutron transport theory, General radiation transport, Branching Markov processes, Stochastic neutron transport, Markov processes, Neutron random walk, Branching processes