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Dynamics Seminar
January 12, 2009

Pat Hooper
Northwestern

Invariant measures for an infinite interval exchange

We will look at a 1-parameter family of interval exchanges of an interval of infinite length. I will discuss the classification of locally finite ergodic invariant measures for this interval exchange. The interval exchange maps arise from return maps to a section of the straight line flow on an infinite translation surface. We heavily use the symmetries of this translation surface (affine automorphisms) in the proof of our classification.

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