Kevin G. Hare

activity

20032023

most citedOn univoque Pisot numbers

20 citations · 128 across the 39 of their papers we have counts for

collaborators

Showing 2014 · math.DSShow all

1 paper · 2 filters

math.DS2014★ 18 cited

On a family of self-affine sets: topology, uniqueness, simultaneous expansions

Kevin G. Hare, Nikita Sidorov

Let $β_{1}, β_{2} > 1$ and $T_{i} (x, y) = (\frac{x + i}{β _{1}}, \frac{y + i}{β _{2}}), i \in {\pm 1}$ . Let $A := A_{β_{1}, β_{2}}$ be the unique compact set satisfying $A = T_{1}(A) \cup T_{-1}…