paper

Arithmetic unique ergodicity for flat vector bundles

arXiv:2411.12302

Abstract

In this paper, we prove a uniform version of quantum unique ergodicity for highfrequency eigensections of Pauli-Schrödinger spin operators on a certain series of unitary flat bundles over arithmetic surfaces.

arXiv comment30 pages, revised according to the referees' suggestions, and this is the final version accepted by Journal of Modern Dynamics