5 papers
Dyson Trace Flow and Multivariate Dynamic Coupled Semicircle Law
Cong Chen, Yong Li
Interacting random matrix systems are fundamental to modern theoretical physics and data science, yet a unified framework for their analysis has been lacking. This work introduces…
Resurgence for large expansion in Coulomb gas formalism
Yong Li, Hongfei Shu
We develop a resurgence analysis for large central charge (large ) expansions in two-dimensional CFTs using the Coulomb gas formalism. Through the exact Borel-Laplace representa…
KAM theory at the Quantum resonance
Huanhuan Yuana, Yong Li
We consider the semiclassical operator on , where the symbol of corresponds to a perturbed classi…
Semiclassical scar on tori in high dimension
Huanhuan Yuan, Yong Li
We show that the eigenfunctions of the self-adjoint elliptic differential operator exhibits semiclassical scar phenomena on the dimensional torus, under the -…
Quantum Birkhoff Normal Form in the -Bruno-Rüssmann non-resonant condition
Huanhuan Yuan, Yixian Gao, Yong Li
The aim of this paper is to construct a Gevrey quantum Birkhoff normal form for the -differential operator where , in the neighborho…