{
  "abstract": "We consider the Schramm-Loewner evolution ( ${\\mathrm{SLE}}_{\\kappa }$ SLE κ ) for $\\kappa \\in (4,8)$ κ ∈ ( 4 , 8 ) , which is the regime that the curve is self-intersecting but not space-filling. We let $\\mathcal{K}$ K be the set of $\\kappa \\in (4,8)$ κ ∈ ( 4 , 8 ) for which the adjacency graph of connected components of the complement of an ${\\mathrm{SLE}}_{\\kappa }$ SLE κ is a.s. connected, meaning that for every pair of complementary components $U, V$ U , V there exist complementary components $U_{1},\\ldots ,U_{n}$ U 1 , … , U n with $U_{1} = U$ U 1 = U , $U_{n} = V$ U n = V , and $\\partial U_{i} \\cap \\partial U_{i+1} \\neq \\emptyset $ ∂ U i ∩ ∂ U i + 1 ≠ ∅ for each $1 \\leq i \\leq n-1$ 1 ≤ i ≤ n − 1 . It was proved by Gwynne and Pfeffer [11] that this set is non-empty. We show that the range of an ${\\mathrm{SLE}}_{\\kappa }$ SLE κ for $\\kappa \\in \\mathcal{K}$ κ ∈ K is a.s. conformally removable, which answers a question of Sheffield. As a step in the proof, we construct the canonical conformally covariant volume measure on the cut points of an ${\\mathrm{SLE}}_{\\kappa }$ SLE κ for $\\kappa \\in (4,8)$",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA",
    "Statistical Laboratory, Centre for Mathematical Sciences, University of Cambridge, Cambridge, CB3 0WB, UK",
    "Department of Mathematics, KTH Royal Institute of Technology, Stockholm, 100 44, Sweden"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Konstantinos Kavvadias"
    },
    {
      "affs": [
        1
      ],
      "name": "Jason Miller"
    },
    {
      "affs": [
        2
      ],
      "name": "Lukas Schoug",
      "orcid": "0000-0003-2547-6059"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b9k7t161yxgz2.bib",
  "cited_by": 16,
  "doi": "10.1007/s00222-026-01427-3",
  "fulltext_url": null,
  "id": "b9k7t161yxgz2",
  "issns": [
    "0020-9910",
    "1432-1297"
  ],
  "landing_url": "https://doi.org/10.1007/s00222-026-01427-3",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W4321524527",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s00222-026-01427-3.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-12",
  "publisher": "Springer Science+Business Media",
  "ris": "https://research.draconitic.com/paper/b9k7t161yxgz2.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T13:20:40Z",
      "native_id": "W4321524527",
      "source": "openalex",
      "url": "https://doi.org/10.1007/s00222-026-01427-3"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Stochastic processes and statistical mechanics",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Conformal removability of non-simple Schramm-Loewner evolutions",
  "title_text": "Conformal removability of non-simple Schramm-Loewner evolutions",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:21:00Z",
  "url": "https://research.draconitic.com/paper/b9k7t161yxgz2",
  "venue": "Inventiones mathematicae",
  "versions": []
}