Exponential mixing property for automorphisms of compact Kahler manifolds

被引：0

作者：

Wu, Hao ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Math, 10 Lower Kent Ridge Rd, SG-119076 Singapore, Singapore

来源：

ARKIV FOR MATEMATIK | 2021年 / 59卷 / 01期

关键词：

dynamic degree; equilibrium measure; exponential mixing; super-potential; SUPER-POTENTIALS; DYNAMICS; CURRENTS;

D O I：

10.4310/ARKIV.2021.v59.n1.a8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a holomorphic automorphism of a compact Kahler manifold. Assume that f admits a unique maximal dynamic degree d(p) with only one eigenvalue of maximal modulus. Let mu be its equilibrium measure. In this paper, we prove that mu is exponentially mixing for all d.s.h. test functions.

引用

页码：213 / 227

页数：15

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