The Length of the Longest Increasing Subsequence of a Random Mallows Permutation
نویسندگان
چکیده
منابع مشابه
The Length of the Longest Increasing Subsequence of a Random Mallows Permutation
The Mallows measure on the symmetric group Sn is the probability measure such that each permutation has probability proportional to q raised to the power of the number of inversions, where q is a positive parameter and the number of inversions of π is equal to the number of pairs i < j such that πi > πj . We prove a weak law of large numbers for the length of the longest increasing subsequence ...
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2011
ISSN: 0894-9840,1572-9230
DOI: 10.1007/s10959-011-0364-5