Work

Planar Binary Trees, Noncrossing Partitions and the Operator-Valued S-Transform

Year: 2024

Type: article

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.

Source: Annals of Combinatorics

DOI: 10.1007/s00026-024-00730-1

Authors: Kurusch Ebrahimi-Fard, Timothé Ringeard

Institutions: Norwegian University of Science and Technology, Centre for Advanced Study, École Normale Supérieure - PSL

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,790

Funder: Norges Forskningsråd

Award: G5012991186

OpenAlex ID: W4404796184

FWCI:

Cites: 21

Cited by:

Related to: 10