| J. M. Steele, Limit properies of random variables associated with a partial order in |
....an elementary proof of this inequality. Finally, Ver sik and Kerov ( 15] settled the conjecture by proving c 2. The structure of the distribution of L n has been studied in [2] 5] 11] The multidimensional generalization of the monotone subsequence problem was rst considered by Steel in [13], who conjectured the existence of a constant that generalizes the Hammersley s constant c to the d dimensional case. The correct generalization was found by Bollob as and Winkler in [4] Let V d = 0; 1] be the unit cube in d dimensions and let n random points x(1) x(2) x(n) be ....
J. M. Steele, Limit properies of random variables associated with a partial order in < , Ann. Probab., 5, (1977), pp. 395-403.
....an elementary proof of this inequality. Finally, Ver sik and Kerov ( 15] settled the conjecture by proving c 2. The structure of the distribution of L n has been studied in [2] 5] 11] The multidimensional generalization of the monotone subsequence problem was rst considered by Steel in [13], who conjectured the existence of a constant that generalizes the Hammersley s constant c to the d dimensional case. The correct generalization was found by Bollob as and Winkler in [4] Let V d = 0; 1] d be the unit cube in d dimensions and let n random points x(1) x(2) x(n) be ....
J. M. Steele, Limit properies of random variables associated with a partial order in d , Ann. Probab., 5, (1977), pp. 395-403.
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J. M. Steele, Limit properies of random variables associated with a partial order in
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