5 papers
Average first-passage times for character sums
Quanyu Tang, Hao Zhang
Let and, for an odd prime , set Define the first-passage time $$ f_\varepsilon(p):=\min\{\ell\ge 1:\ S…
Theory of Remaining Exceptional Points from Nongeneric Splitting in Non-Hermitian Systems
Teng Yin, Hao Zhang
In non-Hermitian physics, high-order exceptional points(HOEPs) with eigenvalues and eigenvectors coalesce are known for their enhanced sensitivity to perturbations. Typically, they…
Towards Quantum Simulations of Sphaleron Dynamics at Colliders
Min Huang, Ying-Ying Li, Yandong Liu +1
Sphaleron dynamics in the Standard Model at high-energy particle collisions remains experimentally unobserved, with theoretical predictions hindered by its nonperturbative real-tim…
Quantum Properties of Non-Dirichlet Boundary Conditions in Gravity
Patrick Draper, Manthos Karydas, Hao Zhang
The Euclidean path integral for gravity is enriched by the addition of boundaries, which provide useful probes of thermodynamic properties. Common boundary conditions include Diric…
Complex median method and Schatten class membership of commutators
Zhenguo Wei, Hao Zhang
This article is devoted to the study of the Schatten class membership of commutators involving singular integral operators. We utilize martingale paraproducts and Hytönen's dyadic…