Spectral theory of pseudo-ergodic operators

Communications in Mathematical Physics

Volumn 216, Issue 3, 2001, Pages 687-704

  Davies, E B ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035529588     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000352     Document Type: Article

References (18)

1. 1. Böttcher, A.: Pseudospectra and singular values of large convolution operators. J. Int. Eqns. Appl. 6, 267-301 (1994)
2. 2. Böttcher, A.: Infinite matrices and projection methods. In: Lectures on Operator Theory and its Applications (ed. Peter Lancaster), Fields Institute Monographs, Providence, RI: Am. Math. Soc. Publ., 1995, pp. 2-74
3. 3. Böttcher, A., Silbermann, B.: Introduction to Large Truncated Toeplitz Matrices. New York: Springer, 1998
4. 4. Brézin, E., Zee, A.: Non-Hermitean delocalization: Multiple scattering and bounds. Nucl. Phys. B 509 599-614 (1998)
5. 5. Dahmen, H.A., Nelson, D.R., Shnerb, N.M.: Population dynamics and non-hermitian localization. Preprint cond-mat/9903276, 1999
6. 6. Davies, E.B.: Semi-classical states for non-self-adjoint Schrödinger operators. Commun. Math. Phys. 200, 35-41 (1999)
7. 7. Davies, E.B.: Wild spectral behaviour of anharmonic oscillators. Bull. London Math. Soc. 32, 432-438 (2000)
8. 8. Davies, E.B: Spectral properties of random non-self-adjoint matrices and operators. Proc. Roy. Soc. London A, to appear
9. 9. Feinberg, J., Zee, A.: Spectral curves of non-hermitian hamiltonians. Nucl. Phys. B 552, 599-623 (1999)
10. 10. Goldsheid, I.Y., Khoruzhenko, B.A.: Distribution of eigenvalues in non-Hermitian Anderson model. Phys. Rev. Lett. 80, 2897-2901 (1998)
11. 11. Hatano, N., Nelson, D.R.: Vortex pinning and non-Hermitian quantum mechanics. Phys. Rev. B 56, 8651-8673 (1997)
12. 12. Hatano, N., Nelson, D.R.: Non-Hermitian delocalization and eigenfunctions. Phys. Rev. B 58, 8384-8390 (1998)
13. 13. Nelson, D.R., Shnerb, N.M.: Non-Hermitian localization and population biology. Phys. Rev. E58, 1383-1403 (1998)
14. 14. Reddy, S.C.: Pseudospectra of Wiener-Hopf integral operators and constant coefficient differential operators. J. Int. Eqns. and Applic. 5, 369-403 (1993)
15. 15. Reichel, L., Trefethen, L.N.: Eigenvalues and pseudoeigenvalues of Toeplitz matrices. Linear Alg. and its Applic. 162-4, 153-185 (1992)
16. 16. Trefethen, L.N.: Pseudospectra of matrices. In: Numerical Analysis 1991 (ed. D.F. Griffiths and G.A. Watson) Harlow, UK: Longman Sci. Tech. Publ., 1992, pp. 234-266
17. 17. Trefethen, L.N.: Pseudospectra of linear operators. SIAM Review 39, 383-406 (1997)
18. 18. Trefethen, L.N., Contedini, M., Embree, M.: Spectra, pseudospectra, and localization for random bidiagonal matrices. Preprint, April 2000