7 citations · 12 across the 4 of their papers we have counts for
5 papers
Approximately Hadamard matrices and Riesz bases in random frames
Xiaoyu Dong, Mark Rudelson
An matrix with entries which acts on as a scaled isometry is called Hadamard. Such matrices exist in some, but not all dimensions. Combining num…
The Smallest Singular Value of a Shifted Random Matrix
Xiaoyu Dong
Let be a random matrix with i.i.d. subgaussian entries. Let be a deterministic matrix with norm where . The g…
Alternating Descent Method for Gauge Cooling of Complex Langevin Simulations
Xiaoyu Dong, Zhenning Cai, Yana Di
We study the gauge cooling technique for the complex Langevin method applied to the computation in lattice quantum chromodynamics. We propose a new solver of the minimization probl…
On the validity of complex Langevin method for path integral computations
Zhenning Cai, Xiaoyu Dong, Yang Kuang
The complex Langevin (CL) method is a classical numerical strategy to alleviate the numerical sign problem in the computation of lattice field theories. Mathematically, it is a sim…
How does Gauge Cooling Stabilize Complex Langevin?
Zhenning Cai, Yana Di, Xiaoyu Dong
We study the mechanism of the gauge cooling technique to stabilize the complex Langevin method in the one-dimensional periodic setting. In this case, we find the exact solutions fo…