The Erdős sumset conjecture predicts that any set of natural numbers
with positive density must contain the arithmetic sum A+B of two
infinite sets A and B. I will present a recent solution to this
conjecture, obtained jointly with F. Richter and D. Robertson. The
proof involves a modified version of the correspondence principle
devised by Furstenberg in 1977 to convert certain problems from
combinatorics into the realm of ergodic theory, and two variations of
the decomposition of an arbitrary function on a measure preserving
system into an almost periodic and a weak mixing components.
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Last modified: April 08 2016 - 20:30:35