Metric hexachordal theorems on probability spaces

Abstract: We present probabilistic and geometric extensions to Babbit's hexachordal theorem. This result coming from the mathematical theory of Music is initially a combinatorical observation that concerns the groups of six notes in $\mathbb{Z}/12\mathbb{Z}$. Joint work with Moreno Andreata and Corentin Guichaoua.

differential geometryprobability

Audience: advanced learners

Young Researchers between Geometry and Stochastic Analysis 2021