Intersections of homogeneous Cantor sets and beta-expansions
Intersections of homogeneous Cantor sets and beta-expansions
Let Γβ,N be the N-part homogeneous Cantor set with β ∊ (1/(2N − 1), 1/N). Any string with jℓ ∊ {0, ±1, ..., ±(N − 1)} such that is called a code of t. Let be the set of t ∊ [−1, 1] having a unique code, and let be …