Pith. sign in

REVIEW 1 cited by

Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Parametric Determinants in the Orthogonal Case

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 2306.12051 v2 pith:IKOTPBZZ submitted 2023-06-21 math-ph math.MP

Nico Hahn , Mario Kieburg , Omri Gat , Thomas Guhr This is my paper · ORCID
classification math-phmath.MP
keywords chiralrandomcasematrixnumberorthogonalproblemstatistics
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We extend our recent study of winding number density statistics in Gaussian random matrix ensembles of the chiral unitary (AIII) and chiral symplectic (CII) classes. Here, we consider the chiral orthogonal (BDI) case which is the mathematically most demanding one. The key observation is that we can map the topological problem on a spectral one, rendering the toolbox of random matrix theory applicable. In particular, we employ a technique that exploits supersymmetry structures without reformulating the problem in superspace.

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. Hard edge asymptotics of correlation functions between singular values and eigenvalues

    math.PR 2025-01 conditional novelty 7.0 of 10

    For a broad class of bi-unitarily invariant random matrix ensembles, the large-n limit of the joint density of one eigenradius and k singular values at the hard edge is expressed through the limiting kernel of the sin...

Pith tools