From the 1 of 5 linked papers with an AI index.
5 papers
Exemplar-based objective classification of gust-induced loads across multiple flight conditions
Paolo Olivucci, Kowshik Srivatsan, David E. Rival
Is it possible to find an objective classification criterion that organizes the complexity of gust-induced loads across many flight conditions? And one that remains as interpretabl…
A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core
Guangqu Zheng
For any finite family of Poisson multiple integrals and any finite , we construct a common increasing filtration generated by finitely many exact Poisson counts such that t…
Breuer-Major-Donsker invariance principle
Paul Mansanarez, Guillaume Poly, Guangqu Zheng
The paper establishes a Breuer‑Major‑Donsker invariance principle for stationary Gaussian sequences under a finite‑variance condition, removing extra moment assumptions from previo…
Hyperbolic -model on the plane
Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang +1
We study the hyperbolic -model on the plane. By establishing coming down from infinity for the associated stochastic nonlinear heat equation (SNLH) on the plane, we fir…
On the deep-water and shallow-water limits of the intermediate long wave equation from a statistical viewpoint
Guopeng Li, Tadahiro Oh, Guangqu Zheng
(Due to the limit on the number of characters for an abstract set by arXiv, the full abstract can not be displayed here. See the abstract in the paper.) We study convergence proble…