[Author] S. V. Kerov [Title] Asymptotic representation theory of the symmetric group and its applications in analysis [AMS Subj-class] 20C32 Representations of the infinite symmetric group 42C05 Orthogonal polynomials 60-XX Probability theory 05-XX Combinatorics 60C05 Combinatorial probability [Keywords] infinite symmetric group, representation theory, orthogonal polynomials, Young diagrams, Young tableaux, Plancherel measure, branching graphs, Bratteli diagrams [Abstract] It is the posthumous publication of the D. Sci. thesis of the author written in 1994 (to be published in English). For the full list of papers by S. V. Kerov see http://www.mathsoc.spb.ru/pers/kerov/ . [Comments] Russian, 242 pp., 24 pictures. [Contact e-mail] lodkin@lodkin.usr.pu.ru