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pro vyhledávání: '"Shipman, Barbara"'
Autor:
Shipman, Barbara Anne.
Our study describes the structure of the completely integrable system known as the full Kostant-Toda lattice in terms of the rich geometry of complex generalized flag manifolds and the information encoded in their momentum polytopes. The space in whi
Externí odkaz:
http://hdl.handle.net/10150/187199
Akademický článek
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Autor:
Kodama, Yuji, Shipman, Barbara
In 1967, Japanese physicist Morikazu Toda published a pair of seminal papers in the Journal of the Physical Society of Japan that exhibited soliton solutions to a chain of particles with nonlinear interactions between nearest neighbors. In the fifty
Externí odkaz:
http://arxiv.org/abs/1802.02128
Publikováno v:
Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies; 2024, Vol. 34 Issue 6, p614-637, 24p
While conformal transformations of the plane preserve Laplace's equation, Lorentz-conformal mappings preserve the wave equation. We discover how simple geometric objects, such as quadrilaterals and pairs of crossing curves, are transformed under nonl
Externí odkaz:
http://arxiv.org/abs/1306.1162
Autor:
Kodama, Yuji, Shipman, Barbara
In 1967, Japanese physicist Morikazu Toda published the seminal papers exhibiting soliton solutions to a chain of particles with nonlinear interactions between nearest neighbors. In the decades that followed, Toda's system of particles has been gener
Externí odkaz:
http://arxiv.org/abs/0805.1389
Autor:
Shipman, Barbara
We use momentum mappings on generalized flag manifolds and their momentum polytopes to study the geometry of the level sets of the 1-chop integrals of the full Kostant-Toda lattice in certain isospectral submanifolds of the phase space. We derive exp
Externí odkaz:
http://arxiv.org/abs/solv-int/9606006
Publikováno v:
In The Journal of Academic Librarianship September 2014 40(5):486-491
Publikováno v:
Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies; 2023, Vol. 33 Issue 7, p759-779, 21p
Publikováno v:
Primus: Problems, Resources & Issues in Mathematics Undergraduate Studies; 2023, Vol. 33 Issue 6, p602-621, 20p