Planar Binary Trees, Noncrossing Partitions and the Operator-Valued S-Transform
Abstract We revisit the twisted multiplicativity property of Voiculescu’s S-transform in the operator-valued setting, using a specific bijection between planar binary trees and noncrossing partitions.
Authors
- Kurusch Ebrahimi‐Fard (ORCID: https://orcid.org/0000-0001-5180-5835)
- Timothé Ringeard
Institutions
- Norwegian University of Science and Technology (NO)
- Centre for Advanced Study (NO)
- Laboratoire de Géologie de l’École Normale Supérieure (FR)
Publication Details
- Journal
- Annals of Combinatorics
- Published
- 2024-11-28
- DOI
- https://doi.org/10.1007/s00026-024-00730-1
- Primary Topic
- Random Matrices and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Norges Forskningsråd