DIMENSION OF 2-DIMENSIONAL SETS DEFINED BY PROPERTIES OF COORDINATE DEVELOPMENTS

被引:0
|
作者
BENNASR, F
机构
[1] FAC SCI MONASTIR,DEPT MATH,MONASTIR,TUNISIA
[2] UNIV PARIS 11,MATH,F-91405 ORSAY,FRANCE
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关键词
D O I
10.24033/bsmf.2135
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let r1 and r2 be two integers greater-than-or-equal-to 2. Ford each point (x, y) of the plane, we expand chi in base r1 and y in base r2. We consider the sets of points (x, y) for which frequencys of consecutive pairs of "digits" are given. We given lower and upper bounds of their dimension.
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页码:55 / 65
页数:11
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