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Results tagged with soft-question
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user 18850
Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
2
votes
Why do people study Weyl asymptotics and partial-spectral-projections?
The unit length hypothesis at here is not important, and very crude estimates are available using Sobolev embedding only. The main issue is that studying the spectrum on the manifold itself is not eno …
- 6,249
8
votes
References: spectral analysis of the Laplacian operator
I took a reading course based on Sogge's book "Hangzhou Lectures on Eigenfunctions of the Laplacian" a long time ago. This may serve as a standard reference because most of the results mentioned in th …
- 6,249
25
votes
Should I quit the PhD?
I do not think you are the only one in this position. Personally I knew one 9th-year PhD, one 8th-year PhD, and one 16th-year PhD in our department. Not long ago, I talked to an 8th-year PhD who was f …
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