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math.CA2026
Generalised lower Assouad-type dimensions and their interpolations
Haipeng Chen, Wen Wang
This paper investigates the analytic and structural properties of the -lower Assouad dimension, a generalized notion extending the lower Assouad dimension. We establish the equ…
math.CA2025
Representations of rational numbers and Minkowski dimension
Haipeng Chen, Lai Jiang, Yufeng Wu
In this paper, we investigate the representations of rational numbers via continued fraction, Egyptian fraction, and Engel fraction expansions. Given , denote by…