In this paper, we look at the extension of Hedlund's characterization of cellular automata to the case of cellular automata in the hyperbolic plane. This requires an addition...
We use a generalization of Wiener's 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L , 1 )(Rd ), the corresponding frame operato...
Knuth-Bendix completions of the equational theories of k 2 commuting group endomorphisms are obtained, using automated theorem proving and modern termination checking. This impro...
Abstract. Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another pro...
Nash-Williams' arboricity theorem states that a finite graph is the edge-disjoint union of at most k forests if no set of vertices induces more than k( - 1) edges. We prove a...