On the growth of averaged Weyl sums for rigid rotations
On the individual ergodic theorem for subsequences
On the Infinite Product Construction of Non-Singular Transformations of a Measure Space.
On the integrability of the ergodic Hilbert transform for a class of functions with equal absolute values.
On the integrability of the ergodic maximal function
On the invariance principle for non-uniformly expanding transformations of [0, 1].
On the invariant measure for Jacobi-Perron algorithm.
On the lifting of invariant measures
On the local ergodic theorems of Krengel, Kubokawa, and Terrell
On the multiplicity function of ergodic group extensions, II
For an arbitrary set containing 1, an ergodic automorphism T whose set of essential values of the multiplicity function is equal to A is constructed. If A is additionally finite, T can be chosen to be an analytic diffeomorphism on a finite-dimensional torus.
On the multiplicity function of ergodic group extensions of rotations
For an arbitrary set A ⊆ ℕ satisfying 1 ∈ A and lcm(m₁,m₂) ∈ A whenever m₁,m₂ ∈ A, an ergodic abelian group extension of a rotation for which the range of the multiplicity function equals A is constructed.
On the pointwise dimension of hyperbolic measures: a proof of the Eckmann-Ruelle conjecture.
On the Pointwise Ergodic Theorem in
On the rank of a class of bijective substitutions
On the ratio maximal functions for an ergodic flow
On the regularity condition for decomposable communication channels
On the Spectra of Certain Semi-Groups.
On the Speed of Convergence in the Ergodic Theorem.
On the Thue-Morse measure
On the uniqueness of equilibrium states for piecewise monotone mappings