Mathematics – Dynamical Systems
Scientific paper
2010-02-15
Mathematics
Dynamical Systems
Scientific paper
We prove that any real-analytic action of $SL(n,\Z), n\ge 3$ with standard
homotopy data that preserves an ergodic measure $\mu$ whose support is not
contained in a ball, is analytically conjugate on an open invariant set to the
standard linear action on the complement to a finite union of periodic orbits.
Hertz Federico Rodriguez
Katok Anatole
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