LEADER 03672nam 22006615 450 001 9910765492803321 005 20240619181626.0 010 $a3-031-39546-8 024 7 $a10.1007/978-3-031-39546-8 035 $a(MiAaPQ)EBC30949275 035 $a(Au-PeEL)EBL30949275 035 $a(DE-He213)978-3-031-39546-8 035 $a(CKB)28861776500041 035 $a(EXLCZ)9928861776500041 100 $a20231115d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStochastic Neutron Transport $eAnd Non-Local Branching Markov Processes /$fby Emma Horton, Andreas E. Kyprianou 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2023. 215 $a1 online resource (278 pages) 225 1 $aProbability and Its Applications,$x2297-0398 311 08$aPrint version: Horton, Emma Stochastic Neutron Transport Cham : Springer International Publishing AG,c2023 9783031395451 327 $aPart 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. 330 $aThis monograph highlights the connection between the theory of neutron transport and the theory of non-local branching processes. By detailing this frequently overlooked relationship, the authors provide readers an entry point into several active areas, particularly applications related to general radiation transport. Cutting-edge research published in recent years is collected here for convenient reference. Organized into two parts, the first offers a modern perspective on the relationship between the neutron branching process (NBP) and the neutron transport equation (NTE), as well as some of the core results concerning the growth and spread of mass of the NBP. The second part generalizes some of the theory put forward in the first, offering proofs in a broader context in order to show why NBPs are as malleable as they appear to be. Stochastic Neutron Transport will be a valuable resource for probabilists, and may also be of interest to numerical analysts and engineers in the field of nuclear research. 410 0$aProbability and Its Applications,$x2297-0398 606 $aProbabilities 606 $aStochastic processes 606 $aMarkov processes 606 $aApplied Probability 606 $aProbability Theory 606 $aStochastic Processes 606 $aMarkov Process 606 $aProbabilitats$2thub 606 $aProcessos estocāstics$2thub 608 $aLlibres electrōnics$2thub 615 0$aProbabilities. 615 0$aStochastic processes. 615 0$aMarkov processes. 615 14$aApplied Probability. 615 24$aProbability Theory. 615 24$aStochastic Processes. 615 24$aMarkov Process. 615 7$aProbabilitats 615 7$aProcessos estocāstics 676 $a539.721301519233 700 $aHorton$b Emma$01449186 701 $aKyprianou$b Andreas E$0296675 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910765492803321 996 $aStochastic Neutron Transport$93645534 997 $aUNINA