arXiv subjects

Yiyang Pan

Publications and source records attributed to Yiyang Pan.

2 recordsLinked to original sources

arXiv2026

A Bernstein Theorem for the Self-Shrinking $J$-Equation and Some Generalizations

We prove that every entire smooth plurisubharmonic solution of the self-shrinking $J$-equation on $\mathbb{C}^n$ is a quadratic polynomial. This removes the asymptotic lower bound assumption on the complex Hessian in \cite[Theorem 4]{HJ}. The result also recovers the corresponding real rigidity theorem in \cite[Theorem 1.1]{HOW} as a special case. More generally, our method applies to a broad class of fully nonlinear elliptic operators satisfying suitable structural conditions, including the inverse complex Hessian quotient operators $-\sigma_{k-1}/\sigma_{k}$ for $1\leq k\leq n$.

math.DG↗

arXiv2024

Saving the legacy of Hero Ibash: Evaluating Four Language Models for Aminoacian

This study assesses four cutting-edge language models in the underexplored Aminoacian language. Through evaluation, it scrutinizes their adaptability, effectiveness, and limitations in text generation, semantic coherence, and contextual understanding. Uncovering insights into these models' performance in a low-resourced language, this research pioneers pathways to bridge linguistic gaps. By offering benchmarks and understanding challenges, it lays groundwork for future advancements in natural language processing, aiming to elevate the applicability of language models in similar linguistic landscapes, marking a significant step toward inclusivity and progress in language technology.

cs.CL↗