6 citations · 6 across the 3 of their papers we have counts for
4 papers
Optimal Smoothed Analysis and Quantitative Universality for the Smallest Singular Value of Random Matrices
Haoyu Wang
The smallest singular value and condition number play important roles in numerical linear algebra and the analysis of algorithms. In numerical analysis with randomness, many previo…
Quantitative Universality for the Largest Eigenvalue of Sample Covariance Matrices
Haoyu Wang
We prove the first explicit rate of convergence to the Tracy-Widom distribution for the fluctuation of the largest eigenvalue of sample covariance matrices that are not integrable.…
A puzzle on the existence of Lyapunov functions for Limit cycle system
Xiao-Liang Gan, Hao-Yu Wang, Ping Ao
Although the limit cycle have been studied for more than 100 years, the existence of its Lyapunov function is still poorly understood. By considering a common limit cycle system, a…
Does the smooth planar dynamical system with one arbitrary limit cycle always exists smooth Lyapunov function?
Xiao-Liang Gan, Hao-Yu Wang, Ping Ao +1
A rigorous proof of a theorem on the coexistence of smooth Lyapunov function and smooth planar dynamical system with one arbitrary limit cycle is given, combining with a novel deco…