5 papers
On enumeration of -angulations of surfaces from an integrability perspective
Elba Garcia-Failde, Jianghao Xu, Di Yang +1
In this paper, we study generating series enumerating polygonal angulations of closed oriented surfaces of fixed genus, focusing on -angulations with or , $ν\geq…
Bihamiltonian tests for integrable systems associated to rank- F-CohFTs
Alexandr Buryak, Jianghao Xu, Di Yang
Double ramification (DR) hierarchies associated to rank- F-CohFTs are important integrable perturbations of the Riemann--Hopf hierarchy. In this paper, we perform bihamiltonian…
DeepMath-Creative: A Benchmark for Evaluating Mathematical Creativity of Large Language Models
Xiaoyang Chen, Xinan Dai, Yu Du +28
To advance the mathematical proficiency of large language models (LLMs), the DeepMath team has launched an open-source initiative aimed at developing an open mathematical LLM and s…
Galilean symmetry of the KdV hierarchy
Jianghao Xu, Di Yang
By solving the infinitesimal Galilean symmetry for the KdV hierarchy, we obtain an explicit expression for the corresponding one-parameter Lie group, which we call the Galilean sym…
A Study on Nice Open Covers in Constructive Analysis
Tong Cheng, Zhihan Gao, Yuxin Ma +2
Mathematicians like Markov and Bishop made an effort to develop constructive mathematics and extended many theorems in classical mathematical analysis. Heine Borel theorem tells us…