A dynamical interpretation of the global canonical height on an elliptic curve.
A generalization of the mean ergodic theorem
A note on counting cuspidal excursions.
A note on the construction of nonsingular Gibbs measures
We give a sufficient condition for the construction of Markov fibred systems using countable Markov partitions with locally bounded distortion.
A remark on the weighted averages for superadditive processes.
A topological version of some ergodic theorems
Actions of sets of integers on irrationals
An ergodic theorem without invariant measure
An extension to the non-metric case of a theorem of Glasner.
Averages of unitary representations and weak mixing of random walks
Let S be a locally compact (σ-compact) group or semigroup, and let T(t) be a continuous representation of S by contractions in a Banach space X. For a regular probability μ on S, we study the convergence of the powers of the μ-average Ux = ʃ T(t)xdμ(t). Our main results for random walks on a group G are: (i) The following are equivalent for an adapted regular probability on G: μ is strictly aperiodic; converges weakly for every continuous unitary representation of G; U is weakly mixing for any...