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Stochastic Neutron Transport And Non-Local Branching Markov Processes /

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 r...

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Bibliografiska uppgifter
Huvudupphovsmän: Horton, Emma (Författare, medförfattare), Kyprianou, Andreas E. (Författare, medförfattare)
Institutionell upphovsman: SpringerLink (Online service)
Materialtyp: Elektronisk E-bok
Språk:engelska
Publicerad: Cham : Springer International Publishing : Imprint: Birkhäuser, 2023.
Upplaga:1st ed. 2023.
Serie:Probability and Its Applications (duplicate),
Ämnen:
Probabilities.
Stochastic processes.
Markov processes.
Applied Probability.
Probability Theory.
Stochastic Processes.
Markov Process.
Länkar:https://doi.org/10.1007/978-3-031-39546-8
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Innehållsförteckning:
  • 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.

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