40 citations · 108 across the 3 of their papers we have counts for
3 papers
nlin.CD2008★ 30 cited
Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket
John Gibbons, Darryl D Holm, Cesare Tronci
The dynamics of Vlasov kinetic moments is shown to be Lie-Poisson on the dual Lie algebra of symmetric contravariant tensor fields. The corresponding Lie bracket is identified with…
nlin.SI2007★ 38 cited
Vlasov moments, integrable systems and singular solutions
John Gibbons, Darryl D Holm, Cesare Tronci
The Vlasov equation for the collisionless evolution of the single-particle probability distribution function (PDF) is a well-known Lie-Poisson Hamiltonian system. Remarkably, the o…
math.AG2006★ 40 cited
Abelian Functions for Cyclic Trigonal Curves of Genus Four
S. Baldwin, J. C. Eilbeck, J. Gibbons +1
We discuss the theory of generalized Weierstrass and functions defined on a trigonal curve of genus four, following earlier work on the genus three case. The specific exa…