23 citations · 56 across the 13 of their papers we have counts for
15 papers
Decimation limits of principal algebraic -actions
Elizaveta Arzhakova, Douglas Lind, Klaus Schmidt +1
Let be a Laurent polynomial in commuting variables with integer coefficients. Associated to is the principal algebraic -action on a compact subgroup…
Bohr chaoticity of principal algebraic actions and Riesz product measures
Aihua Fan, Klaus Schmidt, Evgeny Verbitskiy
For a continuous or action on a compact space, we introduce the notion of Bohr chaoticity, which is an invariant of topological conjugacy and which is…
New Examples of Bernoulli Algebraic Actions
Douglas Lind, Klaus Schmidt
We give examples of principal algebraic actions of the noncommutative free group of rank two, as well as other groups, by automorphisms of a connected compact abelian group for…
Mahler's Work and Algebraic Dynamical Systems
Douglas Lind, Klaus Schmidt
After Furstenberg had provided a first glimpse of remarkable rigidity phenomena associated with the joint action of several commuting automorphisms (or endomorphisms) of a compact…
A Wiener Lemma for the discrete Heisenberg group: Invertibility criteria and applications to algebraic dynamics
Martin Göll, Klaus Schmidt, Evgeny Verbitskiy
This article contains a Wiener Lemma for the convolution algebra and group -algebra of the discrete Heisenberg group $\mat…
Permutations of with restricted movement
Klaus Schmidt, Gabriel Strasser
We investigate dynamical properties of the set of permutations of with restricted movement, i.e., permutations of such that $π(\mathbf{n})-\mathbf…