48 citations · 95 across the 15 of their papers we have counts for
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Generality of Lieb's Concavity Theorem
De Huang
We show that Lieb's concavity theorem holds more generally for any unitarily invariant matrix function that is monotone and concave. Concre…
Improvement on a Generalized Lieb's Concavity Theorem
De Huang
We show that Lieb's concavity theorem holds more generally for any unitary invariant matrix function that is concave and satisfies Höld…
On the Finite Time Blowup of the De Gregorio Model for the 3D Euler Equation
Jiajie Chen, Thomas Y. Hou, De Huang
We present a novel method of analysis and prove finite time asymptotically self-similar blowup of the De Gregorio model \cite{DG90,DG96} for some smooth initial data on the real li…
Generalizing Lieb's Concavity Theorem via Operator Interpolation
De Huang
We introduce the notion of -trace and use interpolation of operators to prove the joint concavity of the function $(A,B)\mapsto\text{Tr}_k\big[(B^\frac{qs}{2}K^*A^{ps}KB^\frac{q…