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math.PR2025
The football model, stochastic ordering and martingale transport
Gaoyue Guo, Nicolas Juillet, Wenpin Tang
Tournaments are competitions between a number of teams, the outcome of which determines the relative strength or rank of each team. In many cases, the strength of a team in the tou…
math.PR2024★ 1 cited
Taking Music Seriously: on the Dynamics of 'Mathemusical' Research with a Focus on Hexachordal Theorems
Moreno Andreatta, Corentin Guichaoua, Nicolas Juillet
After presenting the general framework of 'mathemusical' dynamics, we focus on one music-theoretical problem concerning a special case of homometry theory applied to music composit…