Currents and Equidistribution in Holomorphic Dynamics.

[摘要] Given a holomorphic self-map of complex projective space of degree larger than one, we prove that there exists a finite collection of totally invariant algebraic sets with the following property: given any positive closed (1,1)-current of mass 1 with no mass on any element of this family, the sequence of normalized pull-backs of the current converges to the Green current. Under suitable geometric conditions on the collection of totally invariant algebraic sets, we prove a sharper equidistribution result.

[发布机构] University of Michigan

[效力级别] Equidistributiom

[关键词] Dynamical Systems;Equidistributiom;Ergodic Theory;Green Current;Mathematics;Science;Mathematics