7 citations · 8 across the 2 of their papers we have counts for
4 papers
If they are limit periodic?
J. Bellissard, J. Geronimo, A. Volberg +1
We prove a partial result concerning the long-standing problem on limit periodicity of the Jacobi matrix associated with the balanced measure on the Julia set of an expending polyn…
Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder
J. Bellissard, J. Magnen, V. Rivasseau
This work proposes a very simple random matrix model, the Flip Matrix Model, liable to approximate the behavior of a two dimensional electron in a weak random potential. Its constr…
Spectrum and diffusion for a class of tight-binding models on hypercubes
J. Vidal, R. Mosseri, J. Bellissard
We propose a class of exactly solvable anisotropic tight-binding models on an infinite-dimensional hypercube. The energy spectrum is analytically computed and is shown to be fracta…
Change of the Chern number at band crossings
J. Bellissard
Let be a finite dimensional hermitian matrix depending on the variable taking its values on a 2D manifold and changing with . If at two bands are touching, w…