Coboundary expansion for the union of determinantal hypertrees

2023/11/29 by András Mészáros, Mészáros, András · 3 citations
Economics, Econometrics and Finance · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics

paper · doi:10.48550/arxiv.2311.17897

openalex publication_date 2023/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for any large enough constant k, the union of k independent d-dimensional determinantal hypertrees is a coboundary expander with high probability.

Cited by

• Local limits of determinantal processes
• Using dense graph limit theory to count cocycles of random simplicial complexes
• The homology torsion growth of determinantal hypertrees

Related

• Simplex links in determinantal hypertrees
• Coboundary expanders
• The 2-torsion of determinantal hypertrees is not Cohen-Lenstra
• The homology torsion growth of determinantal hypertrees
• Decomposing a Graph Into Expanding Subgraphs