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math.ST2026
Bergsma--Dassios Sign Covariance Characterises Independence for Arbitrary Real-Valued Bivariate Laws
Stefan Grünewald, Libo Huang
Bergsma--Dassios sign covariance is a rank-based population measure of dependence. Building on zero-characterisation results under specific regularity regimes, we prove that…
math.CO2026
On the maximum size of 2-weakly compatible split systems
Pei Wu, Stefan Grünewald
We consider a Turán-type problem arising in phylogenetics: determining the maximum size of a 2-weakly compatible split system. This compatibility condition arises in the reconstruc…