On generating regular Cantorvals connected with geometric Cantor sets

Artur Bartoszewicz; Franciszek Prus-Wi\'sniowski; Jaros{\l}aw Swaczyna; Ma{\l}gorzata Filipczak; Szymon G{\l}\c{a}b

arxiv: 1706.03523 · v1 · pith:XUHAMX7Hnew · submitted 2017-06-12 · 🧮 math.CA

On generating regular Cantorvals connected with geometric Cantor sets

Artur Bartoszewicz , Ma{\l}gorzata Filipczak , Szymon G{\l}\c{a}b , Franciszek Prus-Wi\'sniowski , Jaros{\l}aw Swaczyna This is my paper

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keywords setscantorcantorvalsconnectedgeometricachievementaffineattractors

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We show that the Cantorvals connected with the geometric Cantor sets are not achievement sets of any series. However many of them are attractors of IFS consisting of affine functions.

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