Dual Garside structure of braids and free cumulants of products

Abstract

We count the n-strand braids whose normal decomposition has length at most two in the dual braid monoid B_n+* by reducing the question to a computation of free cumulants for a product of independent variables, for which we establish a general formula.

Cited by in corpus (2)

• Central Limit Theorem for tensor products of free variables
• Experiments on growth series of braid groups