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Adding a column of numbers produces "carries" along the way. We show thatrandom digits produce a pattern of carries with a neat probabilisticdescription: the carries form a one-dependent determinantal point process. Thismakes it easy to answer natural questions: How many carries are typical? Whereare they located? We show that many further examples, from combinatorics,algebra and group theory, have essentially the same neat formulae, and that anyone-dependent point process on the integers is determinantal. The examples givea gentle introduction to the emerging fields of one-dependent and determinantalpoint processes.

On adding a list of numbers (and other one-dependent determinantal processes)