Self - similar structure on the intersection of middle - ( 1 − 2 β ) Cantor sets with β ∈ ( 1 / 3 , 1 / 2 )
نویسندگان
چکیده
Let β be the middle-(1−2β) Cantor set with β ∈ (1/3, 1/2). We give all real numbers t with unique {−1, 0, 1}-code such that the intersections β ∩ ( β + t) are self-similar sets. For a given β ∈ (1/3, 1/2), a criterion is obtained to check whether or not a t ∈ [−1, 1] has the unique {−1, 0, 1}-code from both geometric and algebraic views. Mathematics Subject Classification: 28A80, 28A78
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تاریخ انتشار 2008