31 citations · 59 across the 8 of their papers we have counts for
9 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…
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 Survey of Algebraic Actions of the Discrete Heisenberg Group
Douglas Lind, Klaus Schmidt
The study of actions of countable groups by automorphisms of compact abelian groups has recently undergone intensive development, revealing deep connections with operator algebras…
Homoclinic points, atoral polynomials, and periodic points of algebraic Z^d-actions
Douglas Lind, Klaus Schmidt, Evgeny Verbitskiy
Cyclic algebraic Z^d-actions are defined by ideals of Laurent polynomials in d commuting variables. Such an action is expansive precisely when the complex variety of the ideal is d…
Entropy and growth rate of periodic points of algebraic Z^d-actions
Douglas Lind, Klaus Schmidt, Evgeny Verbitskiy
Expansive algebraic Z^d-actions corresponding to ideals are characterized by the property that the complex variety of the ideal is disjoint from the multiplicative unit torus. For…