Nonstationary hyperbolic dynamics on the torus

Anfiteatro 0.05 - Edifício das Matemáticas
Friday, 25 May, 2007 - 13:30

Usually in dynamics one studies iterates of a single map, but it turns out that many results go through for sequences of maps. Here we study a specific example:we extend a theorem on Anosov toral automorphisms found independently by Adler and Manning to hyperbolic sequences of maps: assuming the matrices are nonnegative, there exists a sequence of Markov partitions for which the transition rules are given by exactly the same matrix sequence. This allows us also to code the holonomy maps (general irrational circle rotations) as adic transformations on that same nonstationary shift space.

Speaker: 

Albert Fisher (Universidade de São Paulo)
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