Planar binary trees, noncrossing partitions and the operator-valued S-transform
Kurusch Ebrahimi-Fard, Timothe Ringeard·2024-01-26·via math.CO updates on arXiv.org
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.