Universality of the local regime for the block band matrices with a finite number of blocks

Tatyana Shcherbina

We consider the block band matrices, i.e. the Hermitian matrices $H_N$, $N=|\Lambda |W$ with elements $H_{jk,\alpha \beta }$, where $j,k\in \Lambda =[1,m{]}^d\cap {\mathbb{Z}}^d$ (they parameterize the lattice…