ABSTRACT
In Chapter 9, we have shown that the top-weight component of the observable Σk is the free cumulant R k+1 of the transition measure of the Young diagram. More generally, since (Σk ) k≥1 and (Rk ) k≥2 are two algebraic bases of O https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315371016/5e644d52-ef68-4f0e-ac73-bbf480af375a/content/eq6293.tif"/> , there exists for every k a polynomial Kk such that Σ k = K k ( R 2 , R 3 , … , R k + 1 ) , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315371016/5e644d52-ef68-4f0e-ac73-bbf480af375a/content/eq6294.tif"/>
