Limit Theorems of Probability Theory

Dear Colleagues,

M. Loeve wrote: “The fundamental limit theorems of Probability theory may be classified into two groups. One group deals with the problem of limit laws of sequences of some of random variables, the other deals with the problem of limits of random variables, in the sense of almost sure convergence, of such sequences. These problems will be labeled, respectively, the Central Limit Problem (CLP) and the Strong Central Limit Problem (SCLP). Like all mathematical problems, the CLP and SCLP are not static; as answers to old queries are discovered they experience the usual development and new problems arise.”

The purpose of this Special Issue is to present new directions and new advances in limit theorems in probability theory. The list of topics can be very extensive, and it includes classical models of sums of both independent and various kinds of dependent random variables, limit theorems for random processes, functional limit theorems, limit theorems in high-dimensional spaces, limit theorems in free probability, probabilities of large deviations, small and large ball probabilities, measure concentration, and more.

Prof. Dr. Alexander Tikhomirov
Prof. Dr. Vladimir Ulyanov
Guest Editors

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