A variational problem for random Young tableaux
نویسندگان
چکیده
منابع مشابه
Random Young Tableaux
We derive new combinatorial identities which may be viewed as multivariate analogs of summation formulas for hypergeometric series. As in the previous paper Re], we start with probability distributions on the space of the innnite Young tableaux. Then we calculate the probability that the entry of a random tableau at a given box equals n = 1; 2; : : :. Summing these probabilities over n and equa...
متن کاملA Note on Convergence of Moments for Random Young Tableaux
In recent work of Baik, Deift and Rains convergence of moments was established for the limiting joint distribution of the lengths of the first k rows in random Young tableaux. The main difficulty was obtaining a good estimate for the “tail” of the distribution and this was accomplished through a highly nontrival Riemann-Hilbert analysis. Here we give a simpler derivation. A conjecture is stated...
متن کاملTruncations of a Random Unitary Matrix and Young Tableaux
Abstract. Let U be a matrix chosen randomly, with respect to Haar measure, from the unitary group U(d). We express the moments of the trace of any submatrix of U as a sum over partitions whose terms count certain standard and semistandard Young tableaux. Using this combinatorial interpretation, we obtain a simple closed form for the moments of an individual entry of a random unitary matrix and ...
متن کاملOn Convergence of Moments for Random Young Tableaux and a Random Growth Model
In recent work of Baik, Deift and Rains convergence of moments was established for the limiting joint distribution of the lengths of the first k rows in random Young tableaux. The main difficulty was obtaining a good estimate for the tail of the distribution and this was accomplished through a highly nontrival Riemann-Hilbert analysis. Here we give a simpler derivation. The same method is used ...
متن کاملTruncations of Random Unitary Matrices and Young Tableaux
Let U be a matrix chosen randomly, with respect to Haar measure, from the unitary group U(d). For any k ≤ d, and any k × k submatrix Uk of U, we express the average value of |Tr(Uk)| as a sum over partitions of n with at most k rows whose terms count certain standard and semistandard Young tableaux. We combine our formula with a variant of the Colour-Flavour Transformation of lattice gauge theo...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1977
ISSN: 0001-8708
DOI: 10.1016/0001-8708(77)90030-5