From extreme values of i . i . d . random fields to extreme eigenvalues of finite-volume Anderson Hamiltonian

@inproceedings{Astrauskas2016FromEV,
  title={From extreme values of i . i . d . random fields to extreme eigenvalues of finite-volume Anderson Hamiltonian},
  author={Arvydas Astrauskas},
  year={2016}
}
  • Arvydas Astrauskas
  • Published 2016
The aim of this paper is to study asymptotic geometric properties almost surely or/and in probability of extreme order statistics of an i.i.d. random field (potential) indexed by sites of multidimensional lattice cube, the volume of which unboundedly increases. We discuss the following topics: (I) high level exceedances, in particular, clustering of exceedances; (II) decay rate of spacings in comparison with increasing rate of extreme order statistics; (III) minimum of spacings of successive… CONTINUE READING