Convergence of local eigenvector processes of generalized Wigner matrices

Lucas Benigni, Mohammadreza Rezaei Feyzabady

We prove convergence of eigenvector processes of the form $(\sqrt{N}⟨{\mathbf{u}}_k,A_t{\mathbf{u}}_k⟩{)}_{t\in [0,1]}$ where ${\mathbf{u}}_k$ is a bulk eigenvector of generali…