Timeline for Why do people study Weyl asymptotics and partial-spectral-projections?
Current License: CC BY-SA 4.0
6 events
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| Jun 2, 2020 at 21:22 | comment | added | Patch | Sorry, I never mean to put words in your mouth. Since I was asking why people would be interesting in these kinds of estimates, I was thinking you were implying something more. It's one thing to say knowing the spectrum alone isn't enough, but that didn't tell me why projecting onto these restricted Eigenspaces would be of interest. Thank you, again, for your time. | |
| Jun 2, 2020 at 20:54 | comment | added | Bombyx mori | @Patch: I did not say "by looking at the spectrum's distribution amongst higher frequencies (spread out among compact intervals) we can glean more important topological/geometric information about the manifold? " anywhere in the answer. You put word into my mouth. I suggest you talk to your advisor. I would be direct: I do not think this is an interesting thesis topic, and I suggest you work on other things. Hope this is clear enough. | |
| Jun 2, 2020 at 17:30 | comment | added | Patch | And if this indeed the case, then can you explain briefly/broadly why know this kind of information about the spectrum tells you that kind of information? | |
| Jun 2, 2020 at 17:28 | comment | added | Patch | Thank you for taking the time to post these insights; they are rather interesting. However I'm not sure if I understand some of the bigger implications. Are you saying that studying the spectrum of the manifold (as a whole) is insufficient? But that by looking at the spectrum's distribution amongst higher frequencies (spread out among compact intervals) we can glean more important topological/geometric information about the manifold? | |
| Jun 2, 2020 at 4:34 | history | edited | Bombyx mori | CC BY-SA 4.0 |
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| Jun 2, 2020 at 4:17 | history | answered | Bombyx mori | CC BY-SA 4.0 |