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The invariant measures of some infinite interval exchange maps

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Pat Hooper (CCNY)

Abstract:
I will discuss a classification of the locally finite ergodic
invariant measures of some special infinite interval exchange maps.
These interval exchange transformations arise from a variant of a
construction of Thurston which demonstrated the existence of
pseudo-Anosov homeomorphisms of surfaces. Indeed, the classification
of ergodic invariant measures turns out to be natural from a
topological point of view. I will keep the talk elementary and discuss
some connections between these results, Teichmuller theory, and random
walks on graphs and groups.