5 papers
Thermodynamic Crossovers in Supercritical Matter: One, No One, and One Hundred Thousand
Yang Xu, Matteo Baggioli
Beyond a critical point, two thermodynamic phases become continuously connected, without being separated by any thermodynamic singularity. The paradigmatic example is the liquid-ga…
Sharp conditioning and quantitative stability of optimal transport
Yuanlong Ruan
When a feasible plan is obtained whose quadratic transport cost is known to be close to the optimal cost, we try to determine how close the feasible plan is to the true optimal map…
Central limit theorem for Wasserstein projection - the case of convex order
Yuanlong Ruan
The main focuses of the article are limit theorems of Wasserstein projection in the convex order which are useful for inference tasks. The main results rely on the establishment of…
Limit of quasilinear equations and related extremal problems
Yuanlong Ruan
We perform a complete analysis of the limiting behaviour of a class of quasilinear problems with Dirichlet boundary data g. We show that the Lipschitz constant of g plays a role in…
Statistical inference of convex order by Wasserstein projection
Jakwang Kim, Young-Heon Kim, Yuanlong Ruan +1
Ranking distributions according to a stochastic order has wide applications in diverse areas. Although stochastic dominance has received much attention, convex order, particularly…