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Added 09/13/04:
After we submitted this paper for publication we received a message
from Pietro Poggi-Corradini informing us that he had employed
more function-theoretic arguments to (independently) obtain the
same a.e. convergence results we did for the interior fixed-point
case, and the boundary fixed-point hyperbolic and parabolic automorphism
cases. His paper can be downloaded at:
http://front.math.ucdavis.edu/math.CV/0407133
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