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PreprintarXiv licencearXiv

Quantitative Dynamics of complex Hénon maps

  • Henry de Thélin
  • Tien-Cuong Dinh
  • Lucas Kaufmann
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Abstract

Let f be a Hénon map of ℂ2. We provide quantitative versions of several results involving dynamical objects associated to f. Our results can be interpreted as a quantitative version of Pesin theory with geometric control. As an application we show that the perdiodic points of period n of f equidistribute towards its equilibrium measure exponentially fast as n tends to infinity.

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Cite

BibTeXRIS
BibTeX
@misc{thelin2026quantitative,
  title = {{Quantitative Dynamics of complex Hénon maps}},
  author = {Henry de Thélin and Tien-Cuong Dinh and Lucas Kaufmann},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.36105},
  eprint = {2609.36105},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.36105},
}
RIS
TY  - UNPB
TI  - Quantitative Dynamics of complex Hénon maps
AU  - Henry de Thélin
AU  - Tien-Cuong Dinh
AU  - Lucas Kaufmann
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.36105
UR  - https://arxiv.org/abs/2609.36105
AB  - Let f be a Hénon map of ℂ^2. We provide quantitative versions of several results involving dynamical objects associated to f. Our results can be interpreted as a quantitative version of Pesin theory with geometric control. As an application we show that the perdiodic points of period n of f equidistribute towards its equilibrium measure exponentially fast as n tends to infinity.
ER  -