22 citations · 38 across the 7 of their papers we have counts for
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Inverse clustering of Gibbs Partitions via independent fragmentation and dual dependent coagulation operators
Man Wai Ho, Lancelot F. James, John W. Lau
Gibbs partitions of the integers generated by stable subordinators of index form remarkable classes of random partitions where in principle much is known about their pr…
Gibbs Partitions, Riemann-Liouville Fractional Operators, Mittag-Leffler Functions, and Fragmentations Derived From Stable Subordinators
Man-Wai Ho, Lancelot F. James, John W. Lau
Pitman(2003)(and subsequently Gnedin and Pitman (2006) showed that a large class of random partitions of the integers derived from a stable subordinator of index have i…
Gibbs Partitions (EPPF's) Derived From a Stable Subordinator are Fox H and Meijer G Transforms
Man-Wai Ho, Lancelot F. James, John W. Lau
This paper derives explicit results for the infinite Gibbs partitions generated by the jumps of an stable subordinator, derived in Pitman \cite{Pit02, Pit06}. We first show tha…
Coagulation Fragmentation Laws Induced By General Coagulations of Two-Parameter Poisson-Dirichlet Processes
Man-Wai Ho, Lancelot F. James, John W. Lau
Pitman~(1999) describes a duality relationship between fragmentation and coagulation operators. An explicit relationship is described for the two-parameter Poisson-Dirichlet laws,…