69 citations · 338 across the 18 of their papers we have counts for
18 papers
Anisotropic 2D FUP and quantum open baker's map
Long Jin, An Zhang, Hong Zhang
We prove an essential spectral gap for 2D anisotropic quantum open baker's map. This extends the 1D results of Dyatlov--Jin 2017 and the isotropic 2D results of Cohen 2025a. The ke…
Quantitative FUP and spectral gap for quasi-Fuchsian group
Long Jin, An Zhang, Hong Zhang
We derive an explicit formula for the exponent in the higher-dimensional fractal uncertainty principle (FUP) established by Cohen 2023, quantifying its dependence on the porosi…
The Birman-Krein Trace Formula and Scattering Phase on Product space
Hong Zhang
In this paper, we study the Birman-Krein formula for the potential scattering on the product space , where is a compact Riemannian manifold possibly with…
Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation
Chaiho Rim, Hong Zhang
AGT conjecture connects Nekrasov instanton partition function of 4D quiver gauge theory with 2D Liouville conformal blocks. We re-investigate this connection using the central exte…
Coherent states in quantum algebra and qq-character for 5d Super Yang-Mills
Jean-Emile Bourgine, Masayuki Fukuda, Yutaka Matsuo +2
The instanton partition functions of 5d super Yang-Mills are built using elements of the representation theory of quantum algebra: Gaiotto…
Holomorphic field realization of SH and quantum geometry of quiver gauge theories
Jean-Emile Bourgine, Yutaka Matsuo, Hong Zhang
In the context of 4D/2D dualities, SH algebra, introduced by Schiffmann and Vasserot, provides a systematic method to analyse the instanton partition functions of $\mathcal{N}=…