On the Weak Isomorphism of Strictly Ergodic Homeomorphisms.
On topological ergodic measure spaces.
On transformations of sets in
On uniqueness of G-measures and g-measures
We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension of...
On Unitary Operators Inducing Measure-Preserving Transformations.
On Vitali's theorem for groups of motions of Euclidean space.
On Weak Convergence of Norm Preserving Operators on L2 (X) and its Application to Measure Preserving Transformations.
On weakly* conditionally compact dynamical systems
On weighted inequalities for ergodic operators
On -invariant measures and a functional equation
One-sided Lebesgue Bernoulli maps of the sphere of degree and .
Orientation Reversing Morse-Smale Diffeomorphisms of S2.
Original title unknown
Parabolic orbifolds and the dimension of the maximal measure for rational maps.
Periodic multiplicative algorithms of Selmer type.
Piecewise convex transformations with no finite invariant measure
Abstract. The paper concerns the problem of the existence of a finite invariant absolutely continuous measure for piecewise -regular and convex transformations T: [0, l]→[0,1]. We show that in the case when T’(0) = 1 and T"(0) exists T does not admit such a measure. This result is complementary to the ones contained in [3] and [5].
Pointwise asymptotics for the jumps of ergodic averages.
Pointwise convergence of nonconventional averages
We answer a question of H. Furstenberg on the pointwise convergence of the averages , where U and R are positive operators. We also study the pointwise convergence of the averages when T and S are measure preserving transformations.
Pointwise Convergence Theorems in L2 over a von Neumann Algebra.
Pointwise ergodic theorems for arithmetic sets