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Journal article
Multiline Queues with Spectral Parameters
Communications in mathematical physics, v 374(3), pp 1743-1786
01 Mar 2020
Abstract
Using the description of multiline queues as functions on words, we introduce the notion of a spectral weight of a word by defining a new weighting on multiline queues. We show that the spectral weight of a word is invariant under a natural action of the symmetric group, giving a proof of the commutativity conjecture of Arita, Ayyer, Mallick, and Prolhac. We give a determinant formula for the spectral weight of a word, which gives a proof of a conjecture of the first author and Linusson.
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Details
- Title
- Multiline Queues with Spectral Parameters
- Creators
- Erik Aas - Pennsylvania State UniversityDarij Grinberg - University of MinnesotaTravis Scrimshaw - University of Queensland
- Publication Details
- Communications in mathematical physics, v 374(3), pp 1743-1786
- Publisher
- Springer Nature
- Number of pages
- 44
- Grant note
- DP170102648 / Australian Research Council DMS-1148634 / National Science Foundation RTG; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000516067800001
- Scopus ID
- 2-s2.0-85079239794
- Other Identifier
- 991021862242604721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Mathematical