Complete quasi-equidistribution of the golden-ratio Hammersley point set

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The golden ratio is

.∗∗Completequasi−equidistributionclaim.∗∗TheHammersleypointsetinbase. **Complete quasi-equidistribution claim.** The Hammersley point set in base

is completely quasi-equidistributed in base 22.

This is presented as a result suggested by numerical investigation, conditional on the development of suitable scrambling methods; the source does not provide a proof or resolution.

References

Primary source

Nathan Kirk, Christiane Lemieux and Jaspar Wiart, “Golden Ratio Nets and Sequences”, arXiv:2312.11696 (2023).

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