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Pivoting technique for the circle homeomorphism group

Dynamical Systems 2025-08-08 v2 Geometric Topology Probability

Abstract

We adapt Gou{\"e}zel's pivoting technique to the circle homeomorphism group. As an application, we give different proofs of Gilabert Vio's probabilistic Tits alternative and Malicet's exponential synchronization.

Cite

@article{arxiv.2504.02788,
  title  = {Pivoting technique for the circle homeomorphism group},
  author = {Inhyeok Choi},
  journal= {arXiv preprint arXiv:2504.02788},
  year   = {2025}
}

Comments

39 pages. Comments welcome!

R2 v1 2026-06-28T22:45:38.054Z