关于无限分支分段凸映射半共轨系统的准紧致性与统计性质
动力系统
2025-09-09 v9
摘要
本文建立了关于半共轨于分支数为无穷的分段凸映射的倾斜积系统的传递算子准紧致性。这些非可逆倾斜积允许连续性，临界集合局限于可数个纤维的集合。进一步地，我们证明此类系统具有不变测度，其沿纤维的分割形式呈现有界变差；这一概念在本文中提出并发展。
引用
@article{arxiv.2502.08751,
title = {Quasi-compactness and statistical properties for discontinuous systems semi-conjugate to piecewise convex maps with countably many branches},
author = {Rafael Lucena},
journal= {arXiv preprint arXiv:2502.08751},
year = {2025}
}
备注
Corrections were limited to metadata adjustments