3 papers
cs.CE2026
First Steps towards Categorical Algebraic Artificial Chemistry
Joe Pratt-Johns, Toby St. Clere Smithe, Chris Guiver +2
We construct a functor that gives a dynamics to an algebraic model of interacting components. The construction generalises a computational model of Fontana and Buss in the field of…
math.FA2026
Wave Packets and Eigenvalue Estimates for Limiting Operators on the Disk
Kevin Hughes, Arie Israel, Azita Mayeli
We study two-dimensional spatio-spectral limiting operators \[ T_R := P_{D(R)} B_S P_{D(R)} : L^2(\mathbb{R}^2) \rightarrow L^2(\mathbb{R}^2), \] where is a disk of radius $…
math.CA2026
Wave packet systems and connections to spectral analysis of limiting operators
Kevin Hughes, Arie Israel, Azita Mayeli
We discuss the design of ``wave packet systems'' that admit strong concentration properties in phase space. We make a connection between this problem and topics in signal processin…