{
  "abstract": "We prove that the dynamics on a non-linearizable hedgehog is uniquely ergodic. This solves a conjecture of the author formulated in 1995. Its unique invariant probability measure is the Dirac mass at the indifferent fixed point. The proof relies on the techniques of quasi-invariant curves and the hyperbolic form of the Denjoy-Yoccoz lemma developed by the author.",
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  "article_type": null,
  "arxiv": "2609.28797",
  "author_total": 1,
  "authors": [
    {
      "name": "Ricardo Pérez-Marco"
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  "bibtex": "https://research.draconitic.com/paper/0vzm2042gs4ee.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28797",
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  "id": "0vzm2042gs4ee",
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  "landing_url": "https://hal.science/hal-05761760v1",
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  "pdf_url": "https://hal.science/hal-05761760/document",
  "pmcid": null,
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  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0vzm2042gs4ee.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:39Z",
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      "url": "https://arxiv.org/abs/2609.28797"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-cv",
      "subfield": "analysis-pdes"
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    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
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  ],
  "title": "UNIQUE ERGODICITY OF HEDGEHOGS",
  "title_text": "UNIQUE ERGODICITY OF HEDGEHOGS",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/0vzm2042gs4ee",
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