Coalescent tree based functional representations for some Feynman-Kac particle models
DEL MORAL, Pierre
Applications of interacting particle systems to statistics [ASPI]
Laboratoire Jean Alexandre Dieudonné [JAD]
Applications of interacting particle systems to statistics [ASPI]
Laboratoire Jean Alexandre Dieudonné [JAD]
DEL MORAL, Pierre
Applications of interacting particle systems to statistics [ASPI]
Laboratoire Jean Alexandre Dieudonné [JAD]
< Reduce
Applications of interacting particle systems to statistics [ASPI]
Laboratoire Jean Alexandre Dieudonné [JAD]
Language
en
Rapport
This item was published in
2006p. 45
English Abstract
We design a theoretic tree-based functional representation of a class of Feynman-Kac particle distributions, including an extension of the Wick product formula to interacting particle systems. These weak expansions rely ...Read more >
We design a theoretic tree-based functional representation of a class of Feynman-Kac particle distributions, including an extension of the Wick product formula to interacting particle systems. These weak expansions rely on an original combinatorial, and permutation group analysis of a special class of forests. They provide refined non asymptotic propagation of chaos type properties, as well as sharp Lp-mean error bounds, and laws of large numbers for U-statistics. Applications to particle interpretations of the top eigenvalues, and the ground states of Schrödinger semigroups are also discussed.Read less <
English Keywords
combinatorial enumeration
Feynman-Kac semigroups
interacting particle systems
trees and forests
automorphism groups
combinatorial enumeration.
Origin
Hal imported