References
- Avila, A., De Simoi, J., and Kaloshin, V. (2016). An integrable deformation of an ellipse of small eccentricity is an ellipse. Ann. Math. (2), 184: 527–558.
- Andersson, K. G., and Melrose, R. B. (2017). The propagation of Singularities along gliding rays. Invent. Math., 41(3): 197–232, 1977.
- De Simoi, J., Kaloshin, V., and Wei, Q. (Appendix B coauthored with H. Hezari), Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle, Ann. Math. (2), 186: 277–314.
- Guillemin, V., and Melrose, R. (1979). An inverse spectral result for elliptical regions in R2, Adv. Math. 32: 128–148.
- Hezari, H., and Zelditch, S. (2012). C∞ Spectral rigidity of the ellipse. Anal. PDE, 5.
- Hezari, H., and Zelditch, S. One can hear the shape of ellipses of small eccentricity, preprint
- Kac, M. (1966). Can one hear the shape of a drum? Amer. Math. Monthly, 73(4, part II): 1–23.
- Kaloshin, V., and Sorrentino, A. (2018). On the local Birkhoff conjecture for convex Billiards. Ann. Math. (2), 188: 315–380.
- Marvizi, S., and Melrose, R. (1982). Spectral invariants of convex planar regions. J. Differ. Geom. 17: 475–502.
- Popov, G., and Topalov, P. (2019). From KAM Tori to Isospectral Invariants and Spectral Rigidity of Billiard Table, arXiv: 1602.0315.
- Gordon, C., Webb, D. L., and Wolpert, S. (1992). One cannot hear the shape of a drum. Bull. Amer. Math. Soc. (N.S.), 27(1): 134–138.
- Tabachnikov, S. (1991). Geometry and Billiards. Mathematics Subjects Classification.
- Zelditch, S. (2009). Inverse spectral problem for analytic domains. II. Z2-symmetric domains. Ann. Math. 170(1): 205–269.