10 citations · 13 across the 3 of their papers we have counts for
4 papers
Positive Lyapunov Exponents and a Large Deviation Theorem for Continuum Anderson Models, Briefly
Valmir Bucaj, David Damanik, Jake Fillman +4
In this short note, we prove positivity of the Lyapunov exponent for 1D continuum Anderson models by leveraging some classical tools from inverse spectral theory. The argument is m…
Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent
Valmir Bucaj, David Damanik, Jake Fillman +4
We provide a complete and self-contained proof of spectral and dynamical localization for the one-dimensional Anderson model, starting from the positivity of the Lyapunov exponent…
The Kunz-Souillard approach to localization for Jacobi operators
Valmir Bucaj
In this paper we study spectral properties of Jacobi operators. In particular, we prove two main results: (1) that perturbing the diagonal coefficients of Jacobi operator, in an ap…
On the Kunz-Souillard approach to localization for the discrete one dimensional generalized Anderson model
Valmir Bucaj
We prove dynamical and spectral localization at all energies for the discrete generalized Anderson model via the Kunz-Souillard approach to localization. This is an extension of th…