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PreprintarXiv licencearXiv

Renormalization and rigidity of analytic non-linear interval exchange transformations

  • Nataliya Goncharuk
  • Igors Gorbovickis
  • Michael Yampolsky
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Abstract

We construct hyperbolic renormalization horseshoes for analytic generalized interval exchange transformations (GIETs) of bounded type and with bounded geometry, provided their boundaries are small (but not necessarily zero). As a consequence, we describe the manifold structure of smooth conjugacy classes of GIETs.

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Cite

BibTeXRIS
BibTeX
@misc{goncharuk2026renormalization,
  title = {{Renormalization and rigidity of analytic non-linear interval exchange transformations}},
  author = {Nataliya Goncharuk and Igors Gorbovickis and Michael Yampolsky},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14851},
  eprint = {2609.14851},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14851},
}
RIS
TY  - UNPB
TI  - Renormalization and rigidity of analytic non-linear interval exchange transformations
AU  - Nataliya Goncharuk
AU  - Igors Gorbovickis
AU  - Michael Yampolsky
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14851
UR  - https://arxiv.org/abs/2609.14851
AB  - We construct hyperbolic renormalization horseshoes for analytic generalized interval exchange transformations (GIETs) of bounded type and with bounded geometry, provided their boundaries are small (but not necessarily zero). As a consequence, we describe the manifold structure of smooth conjugacy classes of GIETs.
ER  -