2 citations · 2 across the 5 of their papers we have counts for
6 papers
Hausdorff dimension for exactly approximable matrices
Yubin He, Bixuan Li, Baowei Wang
We establish the Hausdorff dimension for exactly approximable matrices for all dimensions, including the inhomogeneous case. More precisely, let be a non-increa…
The Cartesian product of exact approximation sets
Jing Guo, Mumtaz Hussain, Bixuan Li +1
We determine the Hausdorff and packing dimensions of Cartesian products of one-dimensional exact approximation sets. Our main result establishes the exact-approximation counterpart…
Skill-Contracted Agents for Evidence-Aware Materials Literature Analysis
Bixuan Li, Yu Liu, Shuo Shi +3
Materials science literature analysis requires simultaneous attention to composition, processing, characterization, and property relationships, yet conventional retrieval-augmented…
OpenAaaS: An Open Agent-as-a-Service Framework for Distributed Materials-Informatics Research
Peng Kang, Bixuan Li, Xiaoya Huang +5
The Materials Genome Initiative catalyzed the proliferation of centralized platforms--SaaS, PaaS, and IaaS--that aggregate computational and experimental resources for accelerated…
Metrical properties of the product of partial quotients with geometric mean in continued fractions
Mumtaz Hussain, Bixuan Li, Nikita Shulga
The theory of uniform Diophantine approximation concerns the study of Dirichlet improvable numbers and the metrical aspect of this theory leads to the study of the product of conse…
A Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions
Mumtaz Hussain, Bixuan Li, Nikita Shulga
We present a detailed Hausdorff dimension analysis of the set of real numbers where the product of consecutive partial quotients in their continued fraction expansion grow at a cer…