Characters of the symmetric groups and correlation functions of point processes

A method for computing the correlation functions of stochastic point processes arising in the decomposition problem for characters of the infinite symmetric group is presented. Supported by the Russian Program for Support of Scientific Schools (grant 96-15-96060). Institute for Problems in Information Transmission, Russian Academy of Science, and University of Pennsylvania, USA. Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 34, No. 1, pp. 12–28, January–March, 2000. Translated by A. M. Borodin.