2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DG2014★ 2 cited
On measure contraction property without Ricci curvature lower bound
Paul W. Y. Lee
Measure contraction properties are synthetic Ricci curvature lower bounds for metric measure spaces which do not necessarily have smooth structures. It is known that if…
math.CA2014★ 1 cited
Matrix Factorizations via the Inverse Function Theorem
Paul W. Y. Lee
We give proofs of QR factorization, Cholesky's factorization, and LDU factorization using the inverse function theorem. As a consequence, we obtain analytic dependence of these mat…
math.DG2010
A Remark on the Potentials of Optimal Transport Maps
Paul W. Y. Lee
Optimal maps, solutions to the optimal transportation problems, are completely determined by the corresponding c-convex potential functions. In this paper, we give simple sufficien…