On Properties of Random Binary Contingency Tables with Non-Uniform Margin

2020/02/28 by Da Wu, Wu, Da
Computer Science · Mathematics · #FOS: Mathematics #Limits and Structures in Graph Theory #Probability (math.PR) #Random Matrices and Applications #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2002.12559

openalex publication_date 2020/02/28 · openalex created_date 2020/10/01 · openalex updated_date 2026/07/28

Abstract

We study the random binary contingency tables with non-uniform margin. More precisely, for parameters n,δ,B,C, we consider X=(X_ij) with X_ij∈ \lbrace 0,1\rbrace, the random binary contingency tables whose first [n^δ] rows and columns have margin [BCn] and the rest columns and rows have margin [Cn]. We study various asymptotic properties of X as n→ ∞. This answers a question posted by Barvinok.

Citations

• Asymptotic enumeration of integer matrices with constant row and column sums

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