This survey primarily deals with certain aspects of ergodic theory, ie the study of groups of
measure preserving transformations of a probability (Lebesgue) space up to a metric …

We present an overview and some new applications of the approximation by conjugation
method introduced by Anosov and Katok more than 30 years ago (Trans. Moscow Math …

We propose in these notes a list of some old and new questions related to quasiperiodic
dynamics. A main aspect of quasi-periodic dynamics is the crucial influence of arithmetics on …

This paper is the first of a series of papers culminating in the result that measure preserving
diffeomorphisms of the disc or 2-torus are unclassifiable. It addresses another classical …

In this article we demonstrate a way to extend the AbC (approximation by conjugation)
method invented by Anosov and Katok from the smooth category to the category of real …

Analytic uniquely ergodic volume preserving maps on odd spheres Page 1 Comment. Math.
Helv. 89 (2014), 963–977 DOI 10.4171/CMH/341 Commentarii Mathematici Helvetici © Swiss …

We consider pointwise, box, and Hausdorff dimensions of invariant measures for circle
diffeomorphisms. We discuss the cases of rational, Diophantine, and Liouville rotation …

On the torus we prove the existence of a real-analytic weak mixing diffeomorphism
preserving a measurable Riemannian metric. The proof is based on a real-analytic version …

We extend some aspects of the smooth approximation by conjugation method to the real-
analytic set-up, and create examples of zero entropy, uniquely ergodic, real-analytic …

In the case of the disc D 2, the annulus A= S 1×[0, 1] and the torus T 2 we will show that if a
sequence of natural numbers satisfies a certain growth rate, then there is a weak mixing …