%0 Journal Article
%T Periodic behaviors
%A Diego Napp
%A Marius van der Put
%A Shiva Shankar
%J Mathematics
%D 2010
%I arXiv
%X This paper studies behaviors that are defined on a torus, or equivalently, behaviors defined in spaces of periodic functions, and establishes their basic properties analogous to classical results of Malgrange, Palamodov, Oberst et al. for behaviors on R^n. These properties - in particular the Nullstellensatz describing the Willems closure - are closely related to integral and rational points on affine algebraic varieties.
%U http://arxiv.org/abs/1001.2255v3