Perturbed beta–gamma systems and complex geometry

Complex fuzzy linear systems

Algebraic Geometry and Computer Vision : Polynomial Systems , Real and Complex

We review the diierent techniques known for doing exact computations on polynomial systems. Some are based on the use of Grr obner bases and linear algebra, others on the more classical resultants and its modern counterparts. Many theoretical examples of the use of these techniques are given. Furthermore, a full set of examples of applications in the domain of artiicial vision, where many const...

Construction of strict Lyapunov function for nonlinear parameterised perturbed systems

In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.

Matrix Models , Complex Geometry and Integrable Systems . II ∗

We consider certain examples of applications of the general methods, based on geometry and in-tegrability of matrix models, described in [1]. In particular, the nonlinear differential equations, satisfied by quasiclassical tau-functions are investigated. We also discuss a similar quasiclassical geometric picture, arising in the context of multidimensional supersymmetric gauge theories and the A...

1 Overdetermined Systems , Conformal Differential Geometry , and the Bgg Complex

This is an expanded version of a series of two lectures given at the IMA summer program “Symmetries and Overdetermined Systems of Partial Differential Equations”. The main part of the article describes the Riemannian version of the prolongation procedure for certain overdetermined system obtained recently in joint work with T.P. Branson, M.G. Eastwood, and A.R. Gover. First a simple special cas...