{
  "id": "2401.14318",
  "version": "v1",
  "published": "2024-01-25T17:10:45.000Z",
  "updated": "2024-01-25T17:10:45.000Z",
  "title": "Planar binary trees, noncrossing partitions and the operator-valued S-transform",
  "authors": [
    "Kurusch Ebrahimi-Fard",
    "Timothe Ringeard"
  ],
  "categories": [
    "math.CO",
    "math.PR"
  ],
  "abstract": "We revisit Voiculescu's S-transform in the operator-valued setting and its twisted multiplicativity property, using a specific bijection between planar binary trees and noncrossing partitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-25T17:10:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L54",
      "06A07",
      "16W60"
    ],
    "keywords": [
      "planar binary trees",
      "noncrossing partitions",
      "operator-valued s-transform",
      "revisit voiculescus s-transform",
      "specific bijection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}