标题： 定量哈密顿流的尺度渐近性 显示英文标题

标题： Scaling asymptotics for quantized Hamiltonian flows

摘要： 近年来，许多作者对紧致辛流形上正线丛的Szego核的等变分量的近对角渐进行为进行了广泛研究。 作为这一主题的自然推广，这里我们考虑哈密顿辛同胚的托普利茨量子化的局部标度渐进行为，并特别关注它们如何集中在底层经典映射的图上。 显示英文摘要

摘要： In recent years, the near diagonal asymptotics of the equivariant components of the Szeg\"{o} kernel of a positive line bundle on a compact symplectic manifold have been studied extensively by many authors. As a natural generalization of this theme, here we consider the local scaling asymptotics of the Toeplitz quantization of a Hamiltonian symplectomorphism, and specifically how they concentrate on the graph of the underlying classical map.