bio | website | math.sunysb.edu/~vpingli |
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location | ||
age | ||
visits | member for | 5 years, 6 months |
seen | May 31 at 18:42 | |
stats | profile views | 953 |
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. |