Exponential mixing for automorphisms on compact Kaehler manifolds

Details Exponential mixing for automorphisms on compact Kaehler manifolds Exponential mixing for automorphisms on compact Kaehler manifolds

2009-07-22

arxiv.org/abs/0907.3794v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

Let f be a holomorphic automorphism of positive entropy on a compact Kaehler
surface. We show that the equilibrium measure of f is exponentially mixing. The
proof uses some recent development on the pluripotential theory. The result
also holds for automorphisms on compact Kaehler manifolds of higher dimension
under a natural condition on their dynamical degrees.

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