4 papers
Evaluating Hydro-Science and Engineering Knowledge of Large Language Models
Shiruo Hu, Wenbo Shan, Yingjia Li +16
Hydro-Science and Engineering (Hydro-SE) is a critical and irreplaceable domain that secures human water supply, generates clean hydropower energy, and mitigates flood and drought…
Shrinking Targets versus Recurrence: a brief survey
Yubin He, Bing Li, Sanju Velani
Let be a compact metric space and a measure preserving dynamical system. Furthermore, given a real, positive function , let and $ R(T,ψ)…
A dimensional mass transference principle from balls to open sets and applications to dynamical Diophantine approximation
Yubin He
The mass transference principle of Beresnevich and Velani is a powerful mechanism for determining the Hausdorff dimension/measure of sets that arise naturally in Diophant…
Hausdorff measure of sets of inhomogeneous Dirichlet non-improvable affine forms with weights
Yubin He
Under a reasonable decay assumption on the approximating function, we establish a zero-full law for the Hausdorff measure of sets of inhomogeneous Dirichlet non-improvable affine f…