Dynamics of automorphisms on compact Kähler manifolds

Published 29 Sep 2010 in math.DS and math.CV | (1009.5796v1)

Abstract: We study holomorphic automorphisms on compact K\"ahler manifolds having simple actions on the Hodge cohomology ring. We show for such automorphisms that the main dynamical Green currents admit complex laminar structures (woven currents) and the Green measure is the unique invariant probability measure of maximal entropy.

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