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Bill Moran

University of Melbourne

Measures, uniform distribution, and inequalities old and new

I will discuss some old results of Gavin and myself, and some more recent ones. I will give a potted history of our early years in working on measure algebras in Liverpool, leading up to our first skirmish with the kind of inequalities that Gavin has continued to work on. Our more recent work on Schmidt’s conjecture will also be exposed briefly before I turn to some recent work of mine motivated by problems in engineering.