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