2 papers
math.DS2024
Arithmetic unique ergodicity for flat vector bundles
Qiaochu Ma
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 bundl…
math.DS2024
Mixed quantization and partial hyperbolicity
Snir Ben Ovadia, Qiaochu Ma, Federico Rodriguez-Hertz
We establish stable quantum ergodicity for spin Hamiltonians, also known as Pauli-Schrödinger operators. Our approach combines new analytic techniques of mixed quantization, inspir…