DYNAMICAL APPROACH TO ADDITIVE PROBLEMS IN COMBINATORIAL NUMBER THEORY

00:00 20-12-2006

At late 70's Furstenberg reproved the seminal Szemeredi theorem (any subset of the natural numbers of positive upper Banach density contains arbitrary long arithmetic progressions) by introducing "the correspondence principle" and establishing multiple recurrence theorem formeasure preserving systems. We will discuss dynamical approach to van der Waerden, Hindman, Szemeredi theorems.

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