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Group Automorphisms With Finite Entropy.
Groups Admitting Ergodic Actions with Generalized Discrete Spectrum.
Groups of Measure Preserving Transformations.
Groups of Measure Preserving Transformations. II.
Growth functions for some uniformly amenable groups
We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case. We also compute a growth function for some non-abelian uniformly amenable group.
and operator algebras.
Harmonic properties of the sum-of-digits function for complex bases
Homomorphisms of ergodic group actions and conjugacy of skew product actions.
Image d'un homomorphisme et flot des poids d'une relation d'Équivalence mesurée.
Induced and amenable ergodic actions of Lie groups
Infinite ergodic index -actions in infinite measure
We construct infinite measure preserving and nonsingular rank one -actions. The first example is ergodic infinite measure preserving but with nonergodic, infinite conservative index, basis transformations; in this case we exhibit sets of increasing finite and infinite measure which are properly exhaustive and weakly wandering. The next examples are staircase rank one infinite measure preserving -actions; for these we show that the individual basis transformations have conservative ergodic Cartesian...
Invariant Measures and Minimal Sets of Horospherical Flows.
Invariant Measures and Orbit Closures for Unipotent Action on Homogeneous Spaces (Survey).
Invariant measures for actions of unipotent groups over local fields on homogeneous spaces.
Krengel-Lin decomposition for noncompact groups
Lattices in semisimple groups and distal geometric structures.
Mahler measure and entropy for commuting automorphisms of compact groups.
Mixing automorphisms of compact groups and a theorem of Schlickewei.
Most random walks on nilpotent groups are mixing
Let G be a second countable locally compact nilpotent group. It is shown that for every norm completely mixing (n.c.m.) random walk μ, αμ + (1-α)ν is n.c.m. for 0 < α ≤ 1, ν ∈ P(G). In particular, a generic stochastic convolution operator on G is n.c.m.