If you're interested in things like this, you might like to read the paper of Diaconis, Holmes, and Shashahani on sampling from a manifold. https://arxiv.org/ab

If you're interested in things like this, you might like to read the paper of Diaconis, Holmes, and Shashahani on sampling from a manifold. https://arxiv.org/abs/1206.6913 https://arxiv.org/abs/1206.6913