ON THE ESSENTIAL SPECTRUM OF THE TRANSFER OPERATOR FOR EXPANDING MARKOV MAPS

被引：32

作者：

COLLET, P ^{[1
]}

ISOLA, S ^{[1
]}

机构：

[1] UNIV CAMERINO,DIPARTIMENTO MATEMAT & FIS,I-62032 CAMERINO,ITALY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 139卷 / 03期

关键词：

D O I：

10.1007/BF02101879

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The essential spectrum of the transfer operator for expanding markov maps of the interval is studied in detail. To this end we construct explicitly an infinite set of eigenfunctions which allows us to prove that the essential spectrum in C(k) is a disk whose radius is related to the free energy of the Liapunov exponent.

引用

页码：551 / 557

页数：7

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