Planar binary trees, noncrossing partitions and the operator-valued S-transform
Combinatorics
2025-03-27 v2 Probability
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.
Cite
@article{arxiv.2401.14318,
title = {Planar binary trees, noncrossing partitions and the operator-valued S-transform},
author = {Kurusch Ebrahimi-Fard and Timothe Ringeard},
journal= {arXiv preprint arXiv:2401.14318},
year = {2025}
}
Comments
final revised manuscript