31 citations · 125 across the 37 of their papers we have counts for
18 papers · 1 filter
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…
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…
Reconstructing global fields from dynamics in the abelianized Galois group
Gunther Cornelissen, Xin Li, Matilde Marcolli +1
We study a dynamical system induced by the Artin reciprocity map for a global field. We translate the conjugacy of such dynamical systems into various arithmetical properties that…
Reconstructing global fields from Dirichlet L-series
Gunther Cornelissen, Bart de Smit, Xin Li +2
We prove that two global fields are isomorphic if and only if there is an isomorphism of groups of Dirichlet characters that preserves L-series.