2000 character limit reached
Effective Dimension s and Gauge Functions
Published 31 Jan 2026 in math.LO and math.NT | (2602.00435v1)
Abstract: We characterize the gauge profile of $\mathcal{D}s$, the set of reals with effective dimension $s$, and $\mathcal{D}{\leq s}$, the set of reals with effective dimension $\leq s$. Let $W(s)$ be the set of reals that are $s$-well approximable. This gives us a separation between $\mathcal{D}_{\leq s}$ and $W(2/s)$ in terms of Hausdorff measure.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.