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

Fuente: arXiv
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Main Authors: Ebrahimi-Fard, Kurusch, Ringeard, Timothe
Format: Preprint
Published: 2024
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author Ebrahimi-Fard, Kurusch
Ringeard, Timothe
author_facet Ebrahimi-Fard, Kurusch
Ringeard, Timothe
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_14318
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Planar binary trees, noncrossing partitions and the operator-valued S-transform
Ebrahimi-Fard, Kurusch
Ringeard, Timothe
Combinatorics
Probability
46L54, 06A07, 16W60
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.
title Planar binary trees, noncrossing partitions and the operator-valued S-transform
topic Combinatorics
Probability
46L54, 06A07, 16W60
url https://arxiv.org/abs/2401.14318