14 citations · 61 across the 22 of their papers we have counts for
5 papers · 1 filter
Algebraic independence and linear difference equations
Boris Adamczewski, Thomas Dreyfus, Charlotte Hardouin +1
We consider pairs of automorphisms acting on fields of Laurent or Puiseux series: pairs of shift operators , of -differ…
Expansive dynamics on profinite groups
Michael Wibmer
A profinite group equipped with an expansive endomorphism is equivalent to a one-sided group shift. We show that these groups have a very restricted structure. More precisely, we s…
Almost-simple affine difference algebraic groups
Michael Wibmer
Affine difference algebraic groups are a generalization of affine algebraic groups obtained by replacing algebraic equations with algebraic difference equations. We show that the i…
The differential Galois group of the rational function field
Annette Bachmayr, David Harbater, Julia Hartmann +1
We determine the absolute differential Galois group of the field of rational functions: It is the free proalgebraic group on a set of cardinality . Th…
On the dimension of systems of algebraic difference equations
Michael Wibmer
We introduce a notion of dimension for the solution set of a system of algebraic difference equations that measures the degrees of freedom when determining a solution in the ring o…