https://arxiv.org/abs/math/0504039
https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthl...
(for the latter: use sci-hub)
Then there is also work for the 2D case by Tricia Muldoon Brown:
https://www.sciencedirect.com/science/article/pii/S0012365X1...
https://arxiv.org/abs/1608.01562
as well as by Alexander M. Haupt:
https://arxiv.org/abs/1810.10428