Generalized Gaussian processes and relations with random matrices and positive definite functions on permutation groups

摘要

The main purpose of this paper is an explicit construction of generalized Gaussian process with function t(b)(V) = b(H(V)), where H(V) = n - h(V), h(V) is the number of singletons in a pair-(p)artition V is an element of P-2(2n).