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gr-qc2025
The Semiclassical limit of Gauge Field Coherent States: Peakedness and Overlap Functions
Ye Zhang, Zichang Huang
By using the heat kernel method, we construct diffeomorphism-covariant coherent states for the gauge group. We numerically demonstrate that these states exhibit the require…
math.AP2025
On the heat semigroup approach to the geometric Forward-Reverse Brascamp-Lieb inequality
Ye Zhang
In this short paper we provide a new proof of the geometric Forward-Reverse Brascamp-Lieb inequality, using the approach of the heat semigroup, or the heat flow. Furthermore, we ch…