Entropy of Gaussian actions for countable Abelian groups
Ergodic invariant measures for actions of SL(2, Z)
Ergodic Properties of Certain Surjective Cellular Automata.
Ergodic theory, semisimple Lie groups and foliations by manifolds of negative curvature
Estimates of capacity of self-similar measures
We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems where are bi-lipschitzean transformations.
Extensions of Cocycles for Hyperfinite Actions and Applications.
Extensions of probability-preserving systems by measurably-varying homogeneous spaces and applications
We study a generalized notion of a homogeneous skew-product extension of a probability-preserving system in which the homogeneous space fibres are allowed to vary over the ergodic decomposition of the base. The construction of such extensions rests on a simple notion of 'direct integral' for a 'measurable family' of homogeneous spaces, which has a number of precedents in older literature. The main contribution of the present paper is the systematic development of a formalism for handling such extensions,...