# Optimal martingale transport between radially symmetric marginals in general dimensions

arXiv: https://arxiv.org/abs/1412.3530 · HTML: https://mlsanity.com/paper/1412.3530/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 11 Dec 2014.

## Built on by (most cited first, 1 of 1)

- [Global optimality under amenable symmetry constraints](https://mlsanity.com/paper/2402.07613/) (2024)

## Abstract (arXiv)

We determine the optimal structure of couplings for the Martingale transport problem between radially symmetric initial and terminal laws μ, nu on Rd and show the uniqueness of optimizer. Here optimality means that such solutions will minimize the functional E |X-Y|p where 0<p ≤ 1, and the dimension d is arbitrary.