The articles in this collection present new results in combinatorics, algebra, algebraic geometry, dynamical systems, analysis, and probability. Of particular interest is the survey article by A. N. Kirillov devoted to combinatorics of Young diagrams and related problems of representation theory. Also included are articles devoted to the eightieth birthday of renowned Russian mathematician, V. A. Rokhlin, "Remembrances of V. A. Rokhlin", by I. R. Shafarevich, and "An Unfinished Project of V.A. Rokhlin", by V. N. Sudakov. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

Readership

Graduate students and research mathematicians.

Table of Contents

• A. M. Vershik and Yu. V. Yakubovich -- Continuous lattices of partitions and lattices of continuous partitions
• A. N. Kirillov -- Combinatorics of Young tableaux and configurations
• B. Kunyavskii and B. Z. Moroz -- On integral models of affine toric varieties
• Ya. Yu. Nikitin and E. V. Ponikarov -- Rough asymptotics of probabilities of Chernoff type large deviations for von Mises functionals and \(U\)-statistics
• A. P. Petukhov -- Biorthogonal wavelet bases with rational masks
• A. L. Pirozerski and M. A. Semenov-Tian-Shansky -- \(Q\)-pseudodifference universal Drinfeld-Sokolov reduction
• A. L. Chistov -- Effective construction of local parameters of irreducible components of an algebraic variety
• N. N. Uraltseva -- Memorial
• I. R. Shafarevich -- Remembrances of V. A. Rokhlin
• V. N. Sudakov -- An unfinished project of V. A. Rokhlin