具有吸引几乎任意点的马蹄铁的 Anosov 微分同胚
动力系统
2018-10-25 v2
摘要
我们给出一个二维环面上的 C1 Anosov 微分同胚的例子，它带有一个物理测度，其 basin 具有满 Lebesgue 测度，而其支撑是一个零测度的马蹄铁。
引用
@article{arxiv.1802.03977,
title = {Anosov diffeomorphism with a horseshoe that attracts almost any point},
author = {C. Bonatti and S. Minkov and A. Okunev and I. Shilin},
journal= {arXiv preprint arXiv:1802.03977},
year = {2018}
}
备注
19 pages, 3 figures. Rewrote the second page of Introduction, some minor changes (to improve readability)