Scholarlink

Circle diffeomorphims with well behaved rotation number are rigid, i.e. the conjugacies to the corresponding rotations are differentiable, Theorem 8.1.4 . The exponential convergence of fast renormalization to rotations is the main reason for this rigidity phenomenon, Theorem 7.1.1 . This chapter presents two examples of maps which show that the convergence of renormalizations to rotations is a delicate matter.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Non-rigidity

  • 章节

  • 发表日期：

    2025年

查看全文
  • Yiheng Dong,
  • Marco Martens,
  • Liviana Palmisano

摘要

Circle diffeomorphims with well behaved rotation number are rigid, i.e. the conjugacies to the corresponding rotations are differentiable, Theorem 8.1.4 . The exponential convergence of fast renormalization to rotations is the main reason for this rigidity phenomenon, Theorem 7.1.1 . This chapter presents two examples of maps which show that the convergence of renormalizations to rotations is a delicate matter.