Quasi-isometries, phase transitions, and other problems in additive number theory

Quasi-isometries, phase transitions, and other problems in additive number theory

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Melvyn B. Nathanson, The City University of New York
Fine Hall 1201

This is a survey of recent work in combinatorial and additive number theory suggested by a problem of Richard Schwartz in metric geometry and geometric group theory. The central object is a group with an infinite set of generators, and the induced metric. Some results and many open problems will be discussed.