As my eye hops back and forth between the two rapidly changing numbers, it looks like they're always *different*... unless I focus on a point between them, so I can't clearly see either, but can roughly tell that they look the same.
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Maybe deform one curve into the other along a geodesic defined by the earth move distance, which preserves the integral
hmm.. i think I understand .. so if I have a curve γ(t) on some manifold, then moving along a geodesic to some γ’(t) will have equal area?
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It'll be the path that preserves area but moves the smallest amount of "stuff" over time to do it. I'm sure
@gabrielpeyre tweeted an animation along these lines a while back. -
Ah...it's this. https://twitter.com/gabrielpeyre/status/1137585164886978562?s=21 … I think it's just saying linearly interpolate the "cumulative" density. I don't know if that's interesting in this case.
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