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UID:20250802T044311EDT-06401U6TbT@132.216.98.100
DTSTAMP:20250802T084311Z
DESCRIPTION:Title:The mathematics of neutron transport\n\nAbstract: We disc
 uss the evolving mathematical view of the Neutron Transport Equation (NTE)
 \, which describes the flux of neutrons through inhomogeneous fissile mate
 rials. Neutron transport theory emerges in the rigorous mathematical liter
 ature in the mid-1950s. Its treatment as an integro-differential equation 
 eventually settled in the applied mathematics literature through the theor
 y of c_0-semigroup theory\, thanks to the work of Robert Dautray\, Louis L
 ions and collaborators. This paved the way for its spectral analysis which
  has played an important role in the design of nuclear reactors and nuclea
 r medical equipment. We also look at the natural probabilistic approach to
  the NTE which has largely been left behind. Connections with methods of b
 ranching particle systems\, quasi-stationarity for Markov processes and st
 ochastic analysis all lead new ways of characterising solutions and spectr
 al behaviour the NTE. In particular this\, in turn\, leads to the suggesti
 on of completely new Monte-Carlo algorithms\, which has genuine industrial
  impact.\n
DTSTART:20190111T210000Z
DTEND:20190111T220000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Andreas Kyprianou\, University of Bath
URL:/mathstat/channels/event/andreas-kyprianou-univers
 ity-bath-292958
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