Timeline for Courant nodal domain Theorem for sums of eigenfunctions?
Current License: CC BY-SA 3.0
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| Feb 5, 2013 at 14:50 | history | edited | Liviu Nicolaescu | CC BY-SA 3.0 |
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| Jan 28, 2013 at 3:19 | comment | added | Erik Lundberg | Thanks for the interesting preprint! I am still curious about the deterministic case, but this random formulation is actually closer to my original motivation. A lower bound for $N_\lambda$ is proved in the case when M is a hypersphere in arXiv:1212.3823v2 (with the same ensemble you mention). Also, F. Nazarov and M. Sodin propose a lower bound in more general settings. Some explanation of their ideas are contained in these slides: ipht.cea.fr/Pisp/stephane.nonnenmacher/ESI2012/Sodin-slides.pdf | |
| Jan 26, 2013 at 14:57 | history | answered | Liviu Nicolaescu | CC BY-SA 3.0 |