Representation Theory, Dynamical Systems, and Asymptotic Combinatorics

Statistics of the symmetric group representations as a natural science question on asymptotics of Young diagrams Stochastic dynamics related to Plancherel measure on partitions A condition for continuous spectrum of an interval exchange transformation Several nonstandard remarks The interface between probability theory and additive number theory (local limit theorems and structure theory of set addition) Plancherel measure on shifted Young diagrams Results and problems in enveloping algebras arising from quantum groups Asymptotic behaviour in the time synchronization model Stable densities and operators of fractional differentiation Skew products and Livsic theory Distribution of ergodic sums for hyperbolic maps Transverse properties of dynamical systems Minimal one-sided Markov shifts and their cofiltrations Quotients of $ell{infty}(mathbb{Z},mathbb{Z})$ and symbolic covers of toral automorphisms