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Stochastic neutron transport = and n...

Horton, Emma.

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Stochastic neutron transport = and non-local branching markov processes /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stochastic neutron transport/ by Emma Horton, Andreas E. Kyprianou.
Reminder of title:	and non-local branching markov processes /
Author:	Horton, Emma.
other author:	Kyprianou, Andreas E.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xv, 272 p. :illustrations (some col.), digital ;24 cm.
[NT 15003449]:	Part I Neutron Transport Theory -- Classical Neutron Transport Theory -- Some background Markov process theory -- Stochastic Representation of the Neutron Transport Equation -- Many-to-one, Perron-Frobenius and criticality -- Pal-Bell equation and moment growth -- Martingales and path decompositions -- Discrete evolution -- Part II General branching Markov processes -- A general family of branching Markov processes -- Moments -- Survival at criticality -- Spines and skeletons -- Martingale convergence and laws of large numbers.
Contained By:	Springer Nature eBook
Subject:	Neutron transport theory - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-031-39546-8
ISBN:	9783031395468

Stochastic neutron transport = and non-local branching markov processes /
Horton, Emma.

Stochastic neutron transportand non-local branching markov processes /[electronic resource] :by Emma Horton, Andreas E. Kyprianou. - Cham :Springer International Publishing :2023. - xv, 272 p. :illustrations (some col.), digital ;24 cm. - Probability and its applications,2297-0398. - Probability and its applications..

Part I Neutron Transport Theory -- Classical Neutron Transport Theory -- Some background Markov process theory -- Stochastic Representation of the Neutron Transport Equation -- Many-to-one, Perron-Frobenius and criticality -- Pal-Bell equation and moment growth -- Martingales and path decompositions -- Discrete evolution -- Part II General branching Markov processes -- A general family of branching Markov processes -- Moments -- Survival at criticality -- Spines and skeletons -- Martingale convergence and laws of large numbers.

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 engineers in the field of nuclear research.

ISBN: 9783031395468

Standard No.: 10.1007/978-3-031-39546-8doiSubjects--Topical Terms:

560918
Neutron transport theory
--Mathematics.

LC Class. No.: QC793.5.N4622

Dewey Class. No.: 539.721301519233

Stochastic neutron transport = and non-local branching markov processes /
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490 1 $a Probability and its applications, $x 2297-0398
505 0 $a Part I Neutron Transport Theory -- Classical Neutron Transport Theory -- Some background Markov process theory -- Stochastic Representation of the Neutron Transport Equation -- Many-to-one, Perron-Frobenius and criticality -- Pal-Bell equation and moment growth -- Martingales and path decompositions -- Discrete evolution -- Part II General branching Markov processes -- A general family of branching Markov processes -- Moments -- Survival at criticality -- Spines and skeletons -- Martingale convergence and laws of large numbers.
520 $a 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 engineers in the field of nuclear research.
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