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arXiv:2401.14318 [math.CO]AbstractReferencesReviewsResources

Planar binary trees, noncrossing partitions and the operator-valued S-transform

Kurusch Ebrahimi-Fard, Timothe Ringeard

Published 2024-01-25Version 1

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.

Categories: math.CO, math.PR
Subjects: 46L54, 06A07, 16W60
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