Ergodic
Theorems in
Holomorphic
Dynamics
Professor
Nessim Sibony
Université de Paris-Sud,
Let f be a holomorphic endomorhism
of Pk. In order to study
the statistical behavior of orbits,we
consider the measure of maximal entropy. We then prove exponential decay of
correlations for Holder observables and for quasi psh
functions. This implies using classical results (Gordin)
that the Central Limit Theorem holds for non coboundary
observables. The method uses the ddc method and
exponential estimates for p.s.h functions on positive
closed currents with Hölder continuous potentials. If
time permits we will discuss similar problems for meromorphic
maps and polynomial automorphisms. This is joint work
with T.C. Dinh.
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Date: |
November 26, 2007 (Monday) |
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Time: |
4:15 – 5:15pm |
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Place: |
Room 517, Meng Wah Complex, HKU |
All are welcome