DIFFEOMORPHISMS WITH THE STABLY ASYMPTOTIC AVERAGE SHADOWING PROPERTY

• 발행기관: 충청수학회
• 저자명: Man seob Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 4, 617~623쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.12.30

영문 초록

Let p be a hyperbolic periodic point of f; and let ¤(p) be a closed set which containing p: In this paper, we show that C1- generically, if fj¤(p) has the C1-stably asymptotic average shadow- ing property, then it admits a dominated splitting.

목차

1. Introduction

2. Proof of Theorem 1.3.

References