The Eigenvector Moment Flow and local Quantum Unique Ergodicity

LOCAL SOLVABILITY AND 1NTEGRABILITY OF VECTOR FIELDS SYSTEMS 41 Avant de donner cette autre d6monstration de la Proposition 1 nous rappellons quelques d6finitions

In the first part of this article [8], we proved a local version of the circular law up to the finest scale N −1/2+ε for non-Hermitian random matrices at any point z ∈ C with || z |

Remark: Shortly after the preprint [9] appeared, a version of local circular law (both in the bulk and near the edge) was proved by Tao and Vu [32] under the assumption that the

In particular, we extend bulk universality, proved for generalized Wigner matrices in [17], to a large class of matrix ensembles where the upper and lower bounds on the variances

GENERAL CRITERIA FOR INFINITE SYSTEMS In the algebraic approach to quantum statistical mechanics : the observables are structured in the quasi-local C*-algebra

For the latter, “the subject is taken as the counterpart of law, its recipient, and not as the support or beneficiary (individual or collective) of positive rights” 59 which is

The issue of protecting the rights of the person who contracts the dis- ease through blood transfusion con- flicts with the right to privacy which the constitutions of many

The principle of “monodromy”, after the greek “mono” for unique and “dromos” for path, means that the result of analytic continuation does not depend on the path - except