A Criterion for a Process to Be Prime.
A generalization of the Davenport-Erdős construction of normal numbers
We extend the Davenport and Erdős construction of normal numbers to the case.
A generalisation of Mahler measure and its application in algebraic dynamical systems
We prove a generalisation of the entropy formula for certain algebraic -actions given in [2] and [4]. This formula expresses the entropy as the logarithm of the Mahler measure of a Laurent polynomial in d variables with integral coefficients. We replace the rational integers by the integers in a number field and examine the entropy of the corresponding dynamical system.
A half-commutative IP Roth theorem.
A locally commutative free group acting on the plane
The purpose of this paper is to prove the existence of a free subgroup of the group of all affine transformations on the plane with determinant 1 such that the action of the subgroup is locally commutative.
A Multiparameter Strongly Superadditive Ergodic Theorem.
A note on mixing properties of invertible extensions.
A representation theorem for perfect partitions of -actions with finite entropy
A reverse maximal ergodic theorem
A weighted ergodic maximal equality for nonsingular semiflows
A weighted ergodic maximal equality is proved for a conservative and ergodic semiflow of nonsingular automorphisms.
Actions of large semigroups and random walks on isometric extensions of boundaries
Acyclic groups of automorphisms.
Almost block independence and Bernoullicity of Zd-actions by automorphisms of compact abelian groups.
An algebraic group associated to an ergodic diffeomorphism
An axiomatic definition of the entropy of a -action on a Lebesgue space
Analytic nonregular cocycles over irrational rotations
Analytic cocycles of type over an irrational rotation are constructed and an example of that type is given, where all corresponding special flows are weakly mixing.
Asymptotically Brownian skew products give non-loosely Bernoulli K-automorphisms.
Attractors of iterated function systems and Markov operators.
Concavity of the Lagrangian for quasi-periodic orbits.
Density theorems for measurable transformations