Boundaries of Non-Compact Groups and their Applications
TimeNov 3 2011 - 4:30pm - 5:30 pm
SpeakerHillel Furstenberg (Hebrew Univ. of Jerusalem)
AbstractThe theory of harmonic functions on symmetric spaces leads naturally to a notion of "boundary" for semi-simple Lie groups. This can be generalized to general non-compact groups. The boundary turns out to be useful for providing "laws of large numbers" for independent random variables in a non-commutative setting. It plays a major role in a theory of non-measure preserving group actions. We will illustrate this by discussing a "multiple recurrence" phenomenon for so-called "stationary group actions".
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