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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Stochastic neutron transport/ by Emma Horton, Andreas E. Kyprianou.
其他題名:	and non-local branching markov processes /
作者:	Horton, Emma.
其他作者:	Kyprianou, Andreas E.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xv, 272 p. :illustrations (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Markov Process. -
電子資源:	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:

1366662
Markov Process.

LC Class. No.: QC793.5.N4622

Dewey Class. No.: 539.721301519233

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