From the 1 of 5 linked papers with an AI index.
5 papers
Asymptotics of Titchmarsh--Weyl functions near the real axis andan application to the KdV hierarchy
Shuo Zhang
We establish high-energy asymptotic expansions of Titchmarsh--Weyl functions for one-dimensional Schrödinger and Dirac operators in regions whose boundaries approach the spectrum a…
Explicit Hamiltonian Classification in the Toric Degeneration of
Han Lou, Shuo Zhang
We give an explicit coordinate description of the Hamiltonian isotopy classes of the regular Lagrangian torus fibers of the smoothing \(\widehat{F}_4(0)\) of the \(F_4(0)\) toric d…
Global well-posedness of the Toda lattice on an exact spectral phase space
Shuo Zhang
The paper defines an exact spectral phase space for the two‑sided Toda lattice and proves that initial data in this space lead to a unique, globally defined classical solution that…
Bridging Krylov Complexity and Universal Analog Quantum Simulator
Shuo Zhang, Yuzhi Tong, Pengfei Zhang +1
Quantum simulation of complex many-body systems beyond classical computational capabilities provides a promising route toward understanding novel quantum phases and their transitio…
Toda flow with unbounded initial data
Shinichi Kotani, Jiahao Xu, Shuo Zhang
A Toda flow is constructed starting from a certain class of unbounded initial conditions including sequences growing with power order of less than 1. Unbounded ergodic sequences ar…