17 citations · 48 across the 12 of their papers we have counts for
20 papers
Pisot numbers, Salem numbers, and generalised polynomials
Jakub Byszewski, Jakub Konieczny
We study sets of integers that can be defined by the vanishing of a generalised polynomial expression. We show that this includes sets of values of linear recurrent sequences of Sa…
Multiband linear cellular automata and endomorphisms of algebraic vector groups
Jakub Byszewski, Gunther Cornelissen
We propose a correspondence between certain multiband linear cellular automata - models of computation widely used in the description of physical phenomena - and endomorphisms of c…
Dynamics of endomorphisms of algebraic groups
Jakub Byszewski, Gunther Cornelissen, Marc Houben
Let denote an endomorphism of a smooth algebraic group over the algebraic closure of a finite field, and assume all iterates of have finitely many fixed points. Steinbe…
Automata and finite order elements in the Nottingham group
Jakub Byszewski, Gunther Cornelissen, Djurre Tijsma
The Nottingham group at 2 is the group of (formal) power series in the variable with coefficients from the field with two elements, where the…
Dold sequences, periodic points, and dynamics
Jakub Byszewski, Grzegorz Graff, Thomas Ward
In this survey we describe how the so-called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Gowers norms for automatic sequences
Jakub Byszewski, Jakub Konieczny, Clemens Müllner
We show that any automatic sequence can be separated into a structured part and a Gowers uniform part in a way that is considerably more efficient than guaranteed by the Arithmetic…