17 citations · 48 across the 12 of their papers we have counts for
12 papers · 1 filter
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…
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…
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…
Dynamically affine maps in positive characteristic
Jakub Byszewski, Gunther Cornelissen, Marc Houben +1
We study fixed points of iterates of dynamically affine maps (a generalisation of Lattès maps) over algebraically closed fields of positive characteristic . We present and study…
Dynamics on abelian varieties in positive characteristic
Jakub Byszewski, Gunther Cornelissen, Robert Royals +1
We study periodic points for endomorphisms of abelian varieties over algebraically closed fields of positive characteristic . We show that the dynamical zeta function $ζ…