SOME ERGODIC PROPERTIES OF MULTI-DIMENSIONAL F-EXPANSIONS

SOME ERGODIC PROPERTIES OF MULTI-DIMENSIONAL F-EXPANSIONS
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DOI:
10.1007/bf00535691
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发表时间:
1970-01-01
期刊:
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE
影响因子:
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通讯作者:
WATERMAN, MS
WATERMAN, MS
中科院分区:
其他
文献类型:
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作者:
WATERMAN, MS

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除了一类正交维的例子外,我们还有n维连分式(Jacobi算法)作为例子。讨论了Jacobi算法的一个简单推广。上述结果是Kinney和Pitcher(用f-展开定义的某些集合的维数。Z.
In addition to a class of orne-dimens ional examples we have the n-dimensional continued fraction (the Jacobi algorithm) as an example. A simple generalization of the Jacob i algorithm is discussed. The above results are an ex tersion of Kinney and Pitcher (The dimension of some sets de fined in terms of f-expansions. Z.