English

Periodic data rigidity of Anosov automorphisms with Jordan blocks

Dynamical Systems 2025-03-12 v1

Abstract

Anosov automorphisms with Jordan blocks are not periodic data rigid. We introduce a refinement of the periodic data and show that this refined periodic data characterizes C1+C^{1+} conjugacy for Anosov automorphisms of the four dimensional torus with a Jordan block.

Keywords

Cite

@article{arxiv.2210.16702,
  title  = {Periodic data rigidity of Anosov automorphisms with Jordan blocks},
  author = {Jonathan DeWitt},
  journal= {arXiv preprint arXiv:2210.16702},
  year   = {2025}
}

Comments

27 pages; comments are welcome