I will talk about some recent results on deviation of ergodic averages for
systems coming from aperiodic tilings and aperiodic point sets which are
self affine (the Penrose tiling is an example of these). These rely on fun
interactions between ergodic theory and some cohomology theories associated
with aperiodic point sets. Time permitting I will discuss applications to
problems of diffraction, counting problems, and future directions. This is
joint work with S. Schmieding.
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Last modified: April 08 2016 - 20:30:35