there is an (at least, the suggestion of an) argument here that there are saddle points associated with the bulgy regions of the nodal sets of Maass formspic.twitter.com/BMcCGDJPfj
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see https://arxiv.org/abs/1207.6625 /Nodal domains of Maass forms I/ Amit Ghosh, Andre Reznikov, Peter Sarnak
A lovely language for the intro...
it is kind of dumbfounding how I keep crashing into discoveries like this (interpretation of Maass forms as having interferogrammatic information associated with them in a relatively clean fashion), considering how disjeint the original motivation was.
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