ENTROPY OF POLYNOMIAL AND RATIONAL MAPS
成果类型：
Article
署名作者：
FRIEDLAND, S
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/2944341
发表日期：
1991
页码：
359-368
关键词：
摘要：
In this note we define an entropy of rational maps of a smooth projective variety X to itself in terms of the growth rate of the volumes of its subvarieties. We give a formula for this entropy in terms of the spectral radius of the iterates of the induced maps on the homology subgroups of X generated by analytic cycles. In the case of holomorphic maps we show that this entropy is the standard entropy which is equal to the log of the spectral radius of the induced map on the homology.