Stochastic Neutron Transport

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Stochastic Neutron Transport

And Non-Local Branching Markov Processes

Probability and statistics Stochastics

Authors: Emma Horton, Andreas E. Kyprianou

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Collection: Probability and Its Applications

Language: English

Published by: Birkhauser

Published on: 15th November 2023

Format: LCP-protected ePub

ISBN: 9783031395468


Overview

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.

Organization

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.

Target Audience

Stochastic Neutron Transport will be a valuable resource for probabilists, and may also be of interest to numerical analysts and engineers in the field of nuclear research.

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