2 papers
math.PR2026
Fluctuations of the quadratic matching cost on the flat torus: dimensions five and higher
Shi Feng
We prove a central limit theorem for the quadratic matching cost between the uniform measure and its empirical counterpart on the flat torus in dimensions . Let be Haar…
math.PR2026
Fluctuations of the quadratic matching cost on the flat torus: dimensions two, three and four
Shi Feng, Gilles Mordant
We establish sharp variance asymptotics and limiting distributions for the quadratic optimal matching cost between the uniform measure and an empirical measure counterpart on the f…