Chiral mixtures

Michel Petitjean (1)

1 BFA (UMR_8251 / U1133) - Unité de Biologie Fonctionnelle et Adaptative

An index evaluating the amount of chirality of a mixture of colored random variables is defined. Properties are established. Extreme chiral mixtures are characterized and examples are given. Connections between chirality, Wasserstein distances, and least squares Procrustes methods are pointed out.

Mots clés: chirality; chiral index; colored mixtures; Wasserstein metric; procrustes transformations

Domaines: Géométrie métrique [math.MG]; Probabilités [math.PR]

Michel Petitjean. Chiral mixtures. Journal of Mathematical Physics, 2002, 43 (8), pp.4147-4157. ⟨10.1063/1.1484559⟩. ⟨hal-02122882⟩