Bonatti-Viana 微分同胚的唯一平衡态
动力系统
2018-02-23 v4
摘要
我们证明了 Bonatti 和 Viana 构造的鲁棒传递微分同胚对于自然势类具有唯一平衡态。特别地，我们将 SRB 测度刻画为适当几何势的唯一平衡态。所发展的技术适用于广泛的 DA 微分同胚类，并且在映射的 扰动下保持不变。这些结果是第一和最后署名作者发展的通用机制的应用。
引用
@article{arxiv.1505.06371,
title = {Unique equilibrium states for Bonatti-Viana diffeomorphisms},
author = {V. Climenhaga and T. Fisher and D. J. Thompson},
journal= {arXiv preprint arXiv:1505.06371},
year = {2018}
}
备注
46 pages, 2 figures. In response to referee reports, we added an appendix on the regularity of the geometric potential, and made other suggested minor changes. Accepted for publication in Nonlinearity