2 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2013★ 2 cited
The local geometry of maps with c-convex potentials
Nestor Guillen, Jun Kitagawa
We identify a condition for regularity of optimal transport maps that requires only three derivatives of the cost function, for measures given by densities that are only bounded ab…
math.AP2012★ 1 cited
On the degeneracy of optimal transportation
Young-Heon Kim, Jun Kitagawa
We extend a dimensional upper bound on how much an optimal transport map can degenerate for the quadratic transportation cost, originally due to Caffarelli, to cost functions that…
math.AP2010★ 2 cited
A parabolic flow toward solutions of the optimal transportation problem on domains with boundary
Jun Kitagawa
We consider a parabolic version of the mass transport problem, and show that it converges to a solution of the original mass transport problem under suitable conditions on the cost…