scripts related to various aspects of Pólya's conjecture in spectral geometry
The script for the paper Pólya's conjecture for Euclidean balls (with Nikolay Filonov, Iosif Polterovich, and David A Sher):
- Mathematica notebook polya-new.nb
- Mathematica notebook's printout polya-new.nb.pdf
The script for the paper Inequalities à la Pólya for the Aharonov--Bohm eigenvalues of the disk (with Nikolay Filonov, Iosif Polterovich, and David A Sher)
- Mathematica notebook polya-new-AB.nb
- Mathematica notebook's printout polya-new-AB.nb.pdf
The script and the data sets for the paper Pólya's conjecture for Dirichlet eigenvalues of annuli (with Nikolay Filonov, Iosif Polterovich, and David A Sher)
- Mathematica notebook annuli-for-web.nb
- Mathematica notebook's printout annuli-for-web.nb.pdf
- Summary of column data from the computer-assited part columnsummary.txt
- Full column data from the computer-assited part columnsummary.txt