## View abstract

### Session S30 - Mathematical Methods in Quantum Mechanics

Monday, July 19, 17:00 ~ 17:25 UTC-3

## Some generic properties of a uniformly bounded family of discrete one-dimensional Schrödinger operators

### Silas Luiz Carvalho

We present some generic spectral and dynamical properties of a uniformly bounded family of discrete one-dimensional Schrödinger operators, such as: Hausdorff, packing, upper and lower $q$-generalized fractal dimensions of a typical spectral measure, typical transport exponents, etc. We also discuss the application of the main techniques to limit-periodic Schrödinger operators.