Pith. sign in

REVIEW 1 cited by

The limit shape of large alternating sign matrices

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 0803.2697 v2 pith:CH2UEK5P submitted 2008-03-18 math-ph math.COmath.MP

F. Colomo , A. G. Pronko This is my paper · ORCID
classification math-phmath.COmath.MP
keywords limitshapeasmslargealternatingmatricessignaddressed
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The problem of the limit shape of large alternating sign matrices (ASMs) is addressed by studying the emptiness formation probability (EFP) in the domain-wall six-vertex model. Assuming that the limit shape arises in correspondence to the `condensation' of almost all solutions of the saddle-point equations for certain multiple integral representation for EFP, a conjectural expression for the limit shape of large ASMs is derived. The case of 3-enumerated ASMs is also considered.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Frozen-corner enumeration of Alternating Sign Matrices

    math.CO 2025-09 conditional novelty 3.0 of 10

    The number of ASMs with an s by s frozen zero corner is conjectured to equal A_n det(1-M), a determinant formula verified numerically for all n up to 20.

Pith tools