dorsal/arxiv
View SchemaConstructions of Totally Non-Negative Pfaffian
| Authors | Jen-Hsu Chang |
|---|---|
| Categories | |
| ArXiv ID | 2601.06892vv1 |
| URL | https://arxiv.org/abs/2601.06892 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
The totally non-negative pfaffian (TNNP) is define for a skew-symmetric matrix such that all the sub-pfaffians are non-negative. It appears in the pfaffian structure of $\tau$-function for the non-singular web solitons of the BKP equation . One constructs TNNP using the Perfect matching, chord diagram and the Dyck paths enumeration.Its tridiagonal form is also investigated.
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"abstract": "The totally non-negative pfaffian (TNNP) is define for a skew-symmetric matrix such that all the sub-pfaffians are non-negative. It appears in the pfaffian structure of $\\tau$-function for the non-singular web solitons of the BKP equation . One constructs TNNP using the Perfect matching, chord diagram and the Dyck paths enumeration.Its tridiagonal form is also investigated.",
"arxiv_id": "2601.06892",
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"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Constructions of Totally Non-Negative Pfaffian",
"url": "https://arxiv.org/abs/2601.06892",
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