We prove a rigidity result for foliations on surfaces of genus two, which can be seen as a
generalization to higher genus of Herman's theorem on circle diffeomorphisms and …

Limit theorems for translation flows Page 1 Annals of Mathematics 179 (2014), 431-499 http://dx.doi.Org/10.4007/annals.2014.179.2.2
Limit theorems for translation flows By Alexander I. Bufetov To William Austin Veech …

We survey some recent advances in the study of (area-preserving) flows on surfaces, in
particular on the typical dynamical, ergodic and spectral properties of smooth area …

We find conditions for two piecewise C 2+ ν homeomorphisms f and g of the circle to be C 1
conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the …

On the asymptotic growth of Birkhoff integrals for locally Hamiltonian flows and ergodicity of
their extensions Page 1 Comment. Math. Helv. 99 (2024), 231–354 DOI 10.4171/CMH/567 © …

We consider the three dimensional Heisenberg nilflows. Under a full measure set
Diophantine condition on the generator of the flow we construct Bufetov functionals which …

We describe in this article the dynamics of a one-parameter family of affine interval
exchange transformations. This amounts to studying the directional foliations of a particular …

We introduce a class of objects which we call'dilation surfaces'. These provide families of
foliations on surfaces whose dynamics we are interested in. We present and analyze a …

Consider a periodic tiling of a plane by equal triangles obtained from the equilateral tiling by
a linear transformation. We study a following tiling billiard: a ball follows straight segments …

A homothety surface can be assembled from polygons by identifying their edges in pairs via
homotheties, which are compositions of translation and scaling. We consider linear …