Resonant delocalization for random Schr\"odinger operators on tree graphs

Fekete, M.: Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten, Mathematische Zeitschrift 17

1923

Earlier work this paper cites.

Paley, R., Zygmund, A.: A note on analytic functions in the unit circle, Proc. Camb. Phil. Soc. 28

1932

Earlier work this paper cites.

Aronszajn, N.: On a problem of Weyl in the theory of singular Sturm-Liouville equations, Am. J. Math. 79

1957

Earlier work this paper cites.

Anderson, P.W.: Absence of diffusion in certain random lattices. Phys. Rev. 109

1958

Earlier work this paper cites.

Theory of H p H^{p} spaces

Duren, P. L.: · 1970

Earlier work this paper cites.

Abou-Chacra, R., Anderson, P. W. , Thouless, D. J.: A selfconsistent theory of localization. J. Phys. C: Solid State Phys. 6

1973

Earlier work this paper cites.

Abou-Chacra, R., Thouless, D. J.: Self-consistent theory of localization. II. localization near the band edges. J. Phys. C: Solid State Phys. 7

1974

Earlier work this paper cites.

Goldsheid, I., Molchanov, S., Pastur, L.: Pure point spectrum of stochastic one- dimensional Schrödinger operators. Funct. Anal. Appl. 11

1977

Earlier work this paper cites.

Simon, B., Wolff, T.: Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians. Comm. Pure Appl. Math. 39, 75-90 (1986)

1986

Earlier work this paper cites.

Carmona, R., Lacroix, J.: Spectral theory of random Schrödinger operators

1990

Earlier work this paper cites.

Acosta, V., Klein, A.: Analyticity of the density of states in the Anderson model on the Bethe lattice. J. Stat. Phys. 69

1992

Earlier work this paper cites.

Pastur, L., Figotin, A.: Spectra of random and almost-periodic operators

1992

Earlier work this paper cites.

Aizenman, M, Molchanov, S.: Localization at large disorder and at extreme energies: an elementary derivation, Comm. Math. Phys. 157

1993

Cited alongside, same era.

Aizenman, M.: Localization at weak disorder: some elementary bounds, Rev. Math. Phys. 6

1994

Cited alongside, same era.

Weak disorder expansion for the Anderson model on a tree. J. Stat. Phys, 75

Miller, J. D. , Derrida, B.: · 1994

Cited alongside, same era.

Klein, A.: Spreading of wave packets in the Anderson model on the Bethe lattice. Comm. Math. Phys., 177

1996

Cited alongside, same era.

Dembo, A., Zeitouni, O.: Large Deviations Techniques and Applications

1998

Cited alongside, same era.

Klein, A.: Extended states in the Anderson model on the Bethe lattice, Adv. Math. 133

Jaksic, V., Last, Y.: Simplicity of singular spectrum in Anderson type Hamiltonians, Duke Math. J. 133

2006

Later among the works it cites.

Simon, B.: Aizenman’s theorem for orthogonal polynomials on the unit circle. Constr. Approx. 23

2006

Later among the works it cites.

Froese, R., Hasler, D., Spitzer, W.: Absolutely continuous spectrum for the Anderson model on a tree: a geometric proof of Klein’s theorem, Comm. Math. Phys. 269

2007

Later among the works it cites.

Kirsch, W.: An invitation to random Schrödinger operators. Panoramas et Syntheses 25, 1-119 (2008)

2008

Later among the works it cites.

Froese, R., Hasler, D., Spitzer, W.: Absolutely continuous spectrum for a random potential on a tree with strong transverse correlations and large weighted loops, Rev. Math. Phys. 21

2009

Later among the works it cites.