4 papers
Trajectory Sensitivity-Based Dynamic Assessment of an AI Data Center Under Contingencies
Arnav Bagga, Saskia A. Putri, Abhishek Banerjee +1
Artificial Intelligence (AI) data centers are emerging as converter-dominated, parameter-rich electrical systems whose dynamic response depends on fast workload-driven demand varia…
Best constants in noncommutative Burkholder inequalities
Yong Jiao, Adam Osekowski, Lian Wu +1
The paper contains the study of noncommutative Burkholder inequalities. We prove that the constant involved is of order when , which is known to be optim…
On the matrix conjecture
Yong Jiao, Xingyan Quan, Lian Wu +1
This paper provides a solution to the matrix conjecture. For every \(1<p<\infty\), we construct a family of \(2\times2\) matrix \(A_p\) weights with arbitrarily large cha…
Sharp weighted norm estimates for martingale square functions
Wei Chen, Yong Jiao, Xingyan Quan +1
This paper is devoted to the study of quantitative weighted norm estimates for martingale square functions in both scalar-weighted and matrix-weighted settings. In particular, we i…