Titlebook: Stochastic Neutron Transport; And Non-Local Branch Emma Horton,Andreas E. Kyprianou Book 2023 The Editor(s) (if applicable) and The Author(

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Martingales and Path Decompositions objects as far as the general theory of branching processes is concerned and is known to play a key role in the understanding of how particle density aggregates in the pathwise sense (rather than on average). They also serve as the basis of a change of measure, which introduces exceptional stochast

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Facilities

Spines and Skeletons. ., these decompositions can be proved in the setting of the general BMP introduced in Chap. .. Continuing at this level of generality, we look at the formal proofs of analogues of Lemma . and Theorem . for the spine decomposition and Theorem . for the skeletal decomposition. We also take the oppor

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Book 2023requently 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 o

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commodity

Some Background Markov Process Theoryctation semigroups. These are the tools that we will use to identify neutron density and provide an alternative representation of solutions to the NTE that will be of greater interest to us. As such, in this chapter, we include a discussion concerning the asymptotic behaviour of expectation semigroups in terms of a leading eigentriple.

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2297-0371 point into several active areas, including applications rela.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

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Classical Neutron Transport Theory In this first chapter, we will introduce the underlying physical processes of nuclear fission, how this gives rise to the NTE, and moreover, we discuss the classical context in which the NTE can be rigorously understood as a well-defined mathematical equation.