๐”– Bobbio Scriptorium
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The cyclic structure of random permutations

โœ Scribed by V. F. Kolchin; V. P. Chistyakov


Publisher
SP MAIK Nauka/Interperiodica
Year
1975
Tongue
English
Weight
284 KB
Volume
18
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.


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Let L n be the length of a longest increasing subsequence in a random permutation of [1, ..., n]. It is known that the expected value of L n is asymptotically equal to 2 -n as n gets large. This note derives upper bound on the probability that L n &2 -n exceeds certain quantities. In particular, we