TY - JOUR
T1 - A Fredholm determinant identity and the convergence of moments for random young tableaux
AU - Baik, Jinho
AU - Deift, Percy
AU - Rains, Eric
PY - 2001/11
Y1 - 2001/11
N2 - We obtain an identity between Fredholm determinants of two kinds of operators, one acting on functions on the unit circle and the other acting on functions on a subset of the integers. This identity is a generalization of an identity between a Toeplitz determinant and a Fredholm determinant that has appeared in the random permutation context. Using this identity, we prove, in particular, convergence of moments for arbitrary rows of a random Young diagram under Plancherel measure.
AB - We obtain an identity between Fredholm determinants of two kinds of operators, one acting on functions on the unit circle and the other acting on functions on a subset of the integers. This identity is a generalization of an identity between a Toeplitz determinant and a Fredholm determinant that has appeared in the random permutation context. Using this identity, we prove, in particular, convergence of moments for arbitrary rows of a random Young diagram under Plancherel measure.
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U2 - 10.1007/s002200100555
DO - 10.1007/s002200100555
M3 - Article
AN - SCOPUS:0035540309
SN - 0010-3616
VL - 223
SP - 627
EP - 672
JO - Communications In Mathematical Physics
JF - Communications In Mathematical Physics
IS - 3
ER -