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Equilibrium Theorems of the Perron-Frobenius type

Algebra & Discrete Mathematics

Speaker: Martha Yoko Takane Imay, Universidad Nacional Autonoma de Mexico
Location: 1147 MSB
Start time: Mon, Nov 18 2013, 11:00AM

The Perron-Frobenius theorem is one of the most important and deepest theorems in Linear Algebra, which is applied in many areas of Mathematics, Economics, Physics, Chemistry, etc. (even Google uses it). There are quite a few generalizations of this theorem, one of the nicest is the Birkhoff-Vandergraft theorem using the so-called Theory of Cones.

In this talk we give the definition of a cone, some of its main properties; we recall the mentioned theorems and give a generalization of the Fan Theorem which generalizes Perron's one.