Author

Chong Gu

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Preprint Oct 2026

Global H\"older estimates for linearized Monge-Amp\`ere equations in divergence form with applications to dual semigeostrophic equations and periodic homogenization

We establish interior and global H\"older estimates for linearized Monge-Amp\`ere equations in divergence form in all dimensions $n\geq 3$, when the Hessian determinant of the convex Monge-Amp\`ere potential is bounded above and below by positive constants and the vector field on the right-hand side is bounded. The est...

Guo-Qing Cui, Chong Gu, N. Q. Le et al. · 3 citations

Preprint Aug 2026

Retrospective Statistical Inference

In this article, we explore a new paradigm for statistical inference. The approach centers around the point estimate based on observed data, simulating replicates using the estimate as the truth to produce clones of the estimate, with inference deriving from the clone distribution. It avoids prospective finite-dimensio...

Chong Gu · 0 citations

Preprint Sep 2026

Uniqueness and sharp boundary estimates for degenerate Monge-Amp\`ere equations with singular measures

We study the uniqueness and boundary behavior of nonzero convex Aleksandrov solutions to $\det D^2 u=M|u|^p\nu$ with zero boundary values on bounded convex domains in $\mathbb{R}^n (n \geq 2)$. For $0<p<n$, we prove the uniqueness of nonzero convex solutions in the finite-energy class when $\nu$ is a locally finite Bor...

Chong Gu · 0 citations