Matrix integrals and generating functions for permutations and one-face rooted hypermaps

Jacob P. Dyer

Matrix integrals and generating functions for permutations and one-face rooted hypermaps

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1407.7774 v2 pith:SSTFSG3U submitted 2014-07-29 math.CO math-phmath.MP

Matrix integrals and generating functions for permutations and one-face rooted hypermaps

Jacob P. Dyer This is my paper

classification math.CO math-phmath.MP

keywords functionsgeneratinghypermapsnumberrootededgesfoundmatrix

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

Closed-form generating functions for counting one-face rooted hypermaps with a known number of darts by number of vertices and edges is found, using matrix integral expressions relating to the reduced density operator of a bipartite quantum system. A recursion relation for these generating functions is also found. The method for computing similar generating functions for two-face rooted hypermaps by number of vertices and edges is outlined.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Minimalist Seesaw-Scotogenic Mechanism as a Source for Neutrino Physics
hep-ph 2026-07 conditional novelty 5.0

A D4-symmetric Standard-Model extension with three right-handed neutrinos and two extra scalar doublets reproduces the observed neutrino masses and mixings (both orderings, with CP phases) and yields a 50-200 GeV scal...