Equidistribution speed for endomorphisms of projective spaces

被引:23
|
作者
Dinh, Tien-Cuong [2 ]
Sibony, Nessim [1 ]
机构
[1] Univ Paris 11, F-91405 Orsay, France
[2] Univ Paris 06, UMR 7586, Inst Math Jussieu, F-75005 Paris, France
关键词
RATIONAL FUNCTIONS; DYNAMICS;
D O I
10.1007/s00208-009-0445-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let f be a non-invertible holomorphic endomorphism of P(k), f(n) its iterate of order n and mu the equilibrium measure of f. We estimate the speed of convergence in the following known result. If a is a Zariski generic point in P(k), the probability measures, equidistributed on the preimages of a under f(n), converge to mu as n goes to infinity.
引用
收藏
页码:613 / 626
页数:14
相关论文
共 50 条