I have started to write my notes on research papers on the arXiv wiki.

For example, here are some notes on my first paper: https://arxiv.wiki/abs/2101.05513

I write these notes primarily to cement my own understanding. I often oversimplify to help me understand the main point.

If there are errors, please let me know by email.

This is Schrödinger’s seminal paper on “optimal colors” – colors that are extremal in some way. Schrödinger called them “maximal lightness”, but their specialness has to do with something MacAdam calls “purity” – distance from the white point in a chromaticity diagram. We also read West and Brill that relates Schrödinger’s colors to convexity. Brill does the introduction in the English version of Schrödinger’s paper.

Overall, this is what I’ve learned:

- Schrödinger colors are “on/off” colors in frequency space; at every frequency, it is either “maximum strength”, or “no strength”. Schrödinger calls them
*bivalent*. - Some bivalent colors are optimal, meaning they have maximum
*purity*or difference from “white point” on the chromaticity diagram, given the visual efficiency or “percentage of the frequency space that’s on”. - When the chromaticity diagram is convex (yes for humans, no somehow for bees), only “on/off” colors with at most 2 transitions in frequency space are optimal. For non-convex diagrams, the number of transitions in the optimal colors is not always 1 or 2.

I’m a little skeptical that bees have a non-convex chromaticity diagram (how do you even test for this?) but it was enlightening to work towards understanding these optimal colors, and read a (translation of) paper of someone I’ve heard about since high school.

See the arXiv wiki: https://arxiv.wiki/abs/2008.00466

See the arXiv wiki: https://arxiv.wiki/abs/2009.11170

See the arXiv wiki: https://arxiv.wiki/abs/2009.12472

See the arXiv wiki: https://arxiv.wiki/abs/0906.4716

See the arXiv wiki: https://arxiv.wiki/abs/1604.01384

See the arXiv wiki: https://arxiv.wiki/abs/2002.11649

See the arXiv wiki: https://arxiv.wiki/abs/1904.01502

See the arXiv wiki: https://arxiv.wiki/abs/1802.07744

See the arXiv wiki: https://arxiv.wiki/abs/1904.02260

See the arXiv wiki: https://arxiv.wiki/abs/2002.05693

See the arXiv wiki: https://arxiv.wiki/abs/1806.01838

See the arXiv wiki: https://arxiv.wiki/abs/2005.11011

See the arXiv wiki: https://arxiv.wiki/abs/1811.08017

See the arXiv wiki: https://arxiv.wiki/abs/1912.08854

See the arXiv wiki: https://arxiv.wiki/abs/2002.08953

See the arXiv wiki: https://arxiv.wiki/abs/2004.11568

Do you have a paper suggestion? Was this helpful for you? Please send me an email.