2 problems

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Tracy–Widom conjecture for the edge eigenvalues of normalized multivariate Kendall's tau
The normalized multivariate Kendall's $\tau$ matrix is the high-dimensional matrix studied in the paper, with its eigenvalues ordered from the spectral analysis of that matrix. Ext…
Conjectureopenkendall-tau random-matrix-theory robust-statisticsarXiv posted 2 days ago
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Characterization conjecture for weighted Kendall metric spaces
Characterization conjecture. If $(X,d)$ satisfies $|X|=n!$ , every $x\in X$ has a unique $\bar x$ with $d(x,\bar x)=\operatorname{diam}X$ , every two non-diametrical points $x,y$ for…
Conjectureopenkendall-tau metric-geometry permutation-metricsarXiv posted 2 days ago

Tracy–Widom conjecture for the edge eigenvalues of normalized multivariate Kendall's tau