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THE EXPECTED ORDER OF A RANDOM PERMUTATION
被引:14
作者
:
GOH, WMY
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematics and Computer Science Department, Drexel University, Philadelphia, PA
GOH, WMY
SCHMUTZ, E
论文数:
0
引用数:
0
h-index:
0
机构:
Mathematics and Computer Science Department, Drexel University, Philadelphia, PA
SCHMUTZ, E
机构
:
[1]
Mathematics and Computer Science Department, Drexel University, Philadelphia, PA
来源
:
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
|
1991年
/ 23卷
关键词
:
D O I
:
10.1112/blms/23.1.34
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
Let mu-n be the expected order of a random permutation, that is, the arithmetic mean of the orders of the elements in the symmetric group S(n). We prove that log-mu-n approximately c square-root (n/log n) as n --> infinity, where [GRAPHICS].
引用
收藏
页码:34 / 42
页数:9
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[J].
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SCHMUTZ, E
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JOURNAL OF NUMBER THEORY,
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THEORY OF PROBABILITY AND ITS APPLICATIONS,
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:36
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[14]
LIMIT MEASURES ARISING IN ASYMPTOTIC THEORY OF SYMMETRIC GROUPS .1.
[J].
VERSHIK, AM
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0
VERSHIK, AM
;
SHMIDT, AA
论文数:
0
引用数:
0
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.
THEORY OF PROBABILITY AND ITS APPLICATIONS,
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(01)
:70
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[No title captured]
←
1
2
→
共 15 条
[11]
PROOF OF A CONJECTURE OF ERDOS AND TURAN
[J].
SCHMUTZ, E
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV PENN,PHILADELPHIA,PA 19104
UNIV PENN,PHILADELPHIA,PA 19104
SCHMUTZ, E
.
JOURNAL OF NUMBER THEORY,
1989,
31
(03)
:260
-271
[12]
SCHMUTZ E, 1988, THESIS U PENNSYLVANI
[13]
LIMIT MEASURES ARISING IN THE ASYMPTOTIC THEORY OF SYMMETRIC GROUPS .2.
[J].
VERSHIK, AM
论文数:
0
引用数:
0
h-index:
0
VERSHIK, AM
;
SHMIDT, AA
论文数:
0
引用数:
0
h-index:
0
SHMIDT, AA
.
THEORY OF PROBABILITY AND ITS APPLICATIONS,
1978,
23
(01)
:36
-49
[14]
LIMIT MEASURES ARISING IN ASYMPTOTIC THEORY OF SYMMETRIC GROUPS .1.
[J].
VERSHIK, AM
论文数:
0
引用数:
0
h-index:
0
VERSHIK, AM
;
SHMIDT, AA
论文数:
0
引用数:
0
h-index:
0
SHMIDT, AA
.
THEORY OF PROBABILITY AND ITS APPLICATIONS,
1977,
22
(01)
:70
-85
[15]
[No title captured]
←
1
2
→