A superior milestone for the topological entropy of a rational application

被引：114

作者：

Dinh, TC ^{[1
]}

Sibony, N ^{[1
]}

机构：

[1] Univ Paris 11, Orsay, France

来源：

ANNALS OF MATHEMATICS | 2005年 / 161卷 / 03期

关键词：

D O I：

10.4007/annals.2005.161.1637

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a complex projective manifold and let f be a dominating rational map from X onto X. We show that the topological entropy h(f) of f is bounded from above by the logarithm of its maximal dynamical degree.

引用

页码：1637 / 1644

页数：8

共 20 条

[1] TOPOLOGICAL ENTROPY FOR NONCOMPACT SETS [J].

BOWEN, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 184 (OCT) :125-136

[2]

Briend J.-Y., 2001, Publ. Math. Inst. Hautes Etudes Sci, V93, P145

[3]

Clozel L, 2003, J REINE ANGEW MATH, V558, P47

[4]

DEMAILLY JP, 1993, COMPLEX ANAL GEOMETR, P115

[5] Dynamics of bimeromorphic maps of surfaces [J].

Diller, J ;

Favre, C .

AMERICAN JOURNAL OF MATHEMATICS, 2001, 123 (06) :1135-1169

[6]

Dinh TC, 2004, ARK MAT, V42, P61

[7] Dynamics of polynomial-like mappings [J].

Dinh, TC ;

Sibony, N .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2003, 82 (04) :367-423

[8]

DINH TC, 2003, DISTRIBUTION VALEURS

[9]

DINH TC, IN PRESS B SOC MATH

[10] ENTROPY OF POLYNOMIAL AND RATIONAL MAPS [J].

FRIEDLAND, S .

ANNALS OF MATHEMATICS, 1991, 133 (02) :359-368

← 1 2 →