In this paper we discuss the following question: how can we decide whether a convex set is
determined by its angle function or not? We give sufficient conditions for convex polygons …

In order to understand the structure of the “typical” element of a homeomorphism group, one
has to study how large the conjugacy classes of the group are. When typical means generic …

ON THE REGULARITY OF THE DISPLACEMENT SEQUENCE OF AN ORIENTATION
PRESERVING CIRCLE HOMEOMORPHISM Page 1 Research and Communications in …

We give a complete description of the behaviour of the sequence of displacements $\eta_n
(z)=\Phi^ n (x)-\Phi^{n-1}(x)\\rmod\1$, $ z=\exp (2\pi\rmi x) $, along a trajectory …

Descriptive set theory deals with the definable subsets of a Polish space, a separable,
completely metrizable topological space. It has a large variety of applications in ergodic …

We show that, for any n≠ 2, most orientation preserving homeomorphisms of the sphere S 2
n have a Cantor set of fixed points. In other words, the set of such homeomorphisms that do …