864 reputation
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bio website math.sunysb.edu/~vpingli
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visits member for 5 years, 6 months
seen May 31 at 18:42
Graduate student at SUNY stony brook (5th year PhD student).

May
29
comment Most harmful heuristic?
I agree with Scott Aaronson. In fact, the physicist way of defining tensors as things that change correctly under coordinates gives a nice way to define tensor fields on manifolds (Simply a smooth collection of multi-index beasts on different open sets such that on the intersection they are related by an appropriate transformation (the transition functions of the tensor bundle)). I am not sure if this "heuristic" actually gives rise to wrong intuitions.
May
19
awarded  Nice Question
Mar
9
accepted Convexity of a (non-symmetric) function of matrices
Mar
9
comment Convexity of a (non-symmetric) function of matrices
Yes. I forgot to add the assumption of semidefiniteness.
Mar
9
revised Convexity of a (non-symmetric) function of matrices
Added the hypothesis of semidefiniteness.
Mar
9
asked Convexity of a (non-symmetric) function of matrices
Feb
25
accepted Matrix-convexity of inverse of the cofactor matrix
Feb
16
comment Matrix-convexity of inverse of the cofactor matrix
Thanks. It arose in proving uniform estimates for an elliptic Monge-Ampere type PDE.
Feb
13
comment Matrix-convexity of inverse of the cofactor matrix
Indeed. I corrected that.
Feb
13
revised Matrix-convexity of inverse of the cofactor matrix
added 5 characters in body
Feb
13
asked Matrix-convexity of inverse of the cofactor matrix
Feb
9
awarded  Yearling
Feb
9
accepted Convexity of a function of matrices
Feb
9
asked Convexity of a function of matrices
Feb
9
accepted Geometric mean of two matrices
Feb
7
comment Geometric mean of two matrices
Thank you. Unfortunately, case 1 is the more problematic one of the two. This is because $K \neq 0$ cannot be $\leq 0$ (its trace is $0$).
Feb
5
asked Geometric mean of two matrices
Nov
22
comment $L^p$ stability of the Beltrami equation
Thank you very much.
Nov
22
accepted $L^p$ stability of the Beltrami equation
Nov
21
comment $L^p$ stability of the Beltrami equation
Fair enough. Indeed I want them to be uniformly quasiconformal. In fact, stronger than that.