Infinite sequences are of tremendous theoretical and practical importance, and in the Information Age binary sequences are of particular interest. Sufficient conditions for a subset of the integers (a digit set) to tile all of the integers Z via translation are known. This "filling in'' is used in extremely fundamental ways in a number of arguments in tiling dynamics. The calculation of the complexity function relies inextricably on the contiguous nature of the underlying infinite sequence. Thus, it is natural to ask what can be said in the case that we tile Z with non-contiguous tiles. In this talk, we explore this question through a thorough examination of a family of binary sequences generated by gapped digit tilings.
Join us on Monday, March 30, at 3:10 p.m. in Hayes 109 to hear this exciting presentation from May Mei, professor of mathematics at Denison University. We hope to see you there!