On semigroups of -endomorphisms
Pointwise induced semigroups of σ-endomorphisms
Multiplicative operators on symmetric commutative algebras
Ergodicity for piecewise smooth cocycles over toral rotations
Let α be an ergodic rotation of the d-torus . For any piecewise smooth function with sufficiently regular pieces the unitary operator Vh(x) = exp(2π if(x))h(x + α) acting on is shown to have a continuous non-Dirichlet spectrum if the gradient of f has nonzero integral. In particular, the resulting skew product must be ergodic. If in addition α is sufficiently well approximated by rational vectors and f is represented by a linear function with noninteger coefficients then the spectrum of V...
Unique ergodicity of irreducible Markov operators on C(X)
Independent sets of transitive points
On infinite complete algebras
A remark on a paper of H. Höft
Weak convergence and weighted averages for groups of operators
Extreme contractions on certain function spaces
Weyl almost periodic points in topological dynamics
Multiple recurrence for discrete time Markov processes
Representation of operators on -spaces by nondirect product measures
How restrictive is topological dynamics?
Let be a permutation of an abstract set . In ZFC, we find a necessary and sufficient condition it terms of cardinalities of the -orbits that allows us to topologize as a topological dynamical system on a compact Hausdorff space. This extends an early result of H. de Vries concerning compact metric dynamical systems. An analogous result is obtained for -actions without periodic points.
Cyclic approximation of ergodic step cocycles over irrational rotations
A property of doubly stochastic densities
Period structure for pointwise periodic isometries of continua
Sous-mesures symétriques sur un ensemble fini
Independence with respect to families of characters
Multiple recurrence for discrete time Markov processes. II
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