Distributional comparison for non-commutative infinitely divisible probability measures

Arturo Jaramillo; Josue Vazquez-Becerra

Distributional comparison for non-commutative infinitely divisible probability measures

概率论 2026-06-29 v1

作者: Arturo Jaramillo , Josue Vazquez-Becerra

摘要

We determine ``cumulant-type'' upper bounds of the non-commutative Wasserstein distance for certain classes of distributions $\mu$ and $\nu$ , which are infinite divisible with respect to the Boolean, classical and free convolutions. The main contribution of the manuscript is an estimation of the non-commutative Wasserstein distance between $\mu$ and $\nu$ , expressed in terms of the difference between cumulants of order less than $2m+4$ .

引用

@article{arxiv.2606.30364,
  title  = {Distributional comparison for non-commutative infinitely divisible probability measures},
  author = {Arturo Jaramillo and Josue Vazquez-Becerra},
  journal= {arXiv preprint arXiv:2606.30364},
  year   = {2026}
}