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Discrete orthogonal polynomial ensembles and the Plancherel measure
Kurt Johansson
We consider discrete orthogonal polynomial ensembles which are discrete analogues of the orthogonal polynomial ensembles in random matrix theory. These ensembles occur in certain p…
Shape Fluctuations and Random Matrices
Kurt Johansson
We study a certain random groeth model in two dimensions closely related to the one-dimensional totally asymmetric exclusion process. The results show that the shape fluctuations,…
On the distribution of the length of the second row of a Young diagram under Plancherel measure
Jinho Baik, Percy Deift, Kurt Johansson
We investigate the probability distribution of the length of the second row of a Young diagram of size equipped with Plancherel measure. We obtain an expression for the generat…
On the Distribution of the Length of the Longest Increasing Subsequence of Random Permutations
Jinho Baik, Percy Deift, Kurt Johansson
The authors consider the length, , of the length of the longest increasing subsequence of a random permutation of numbers. The main result in this paper is a proof that th…