2 papers
math.SG2005
A Bi-Hamiltonian Structure for the Integrable, Discrete Non-Linear Schrodinger System
Nicholas M. Ercolani, Guadalupe I. Lozano
This paper shows that the Ablowitz-Ladik hierarchy of equations (a well-known integrable discretization of the Non-linear Schrodinger system) can be explicitly viewed as a hierarch…
math.DG2002
The Geometry of Polygons in R^5 and Quaternions
Philip Foth, Guadalupe Lozano
We consider the moduli space M_r of polygons with fixed side lengths in five-dimensional eucledian space. We analyze the local structure of its singularities and exhibit a real-ana…