98 citations · 318 across the 23 of their papers we have counts for
4 papers · 1 filter
Dynamical systems around the Rauzy gasket and their ergodic properties
Ivan Dynnikov, Pascal Hubert, Alexandra Skripchenko
At the beggining of the 80's, H.Masur and W.Veech started the study of generic properties of interval exchange transformations proving that almost every such transformation is uniq…
Minimality of interval exchange transformations with restrictions
Ivan Dynnikov, Alexandra Skripchenko
It is known since 40 years old paper by M. Keane that minimality is a generic (i.e. holding with probability one) property of an irreducible interval exchange transformation. If on…
Symmetric band complexes of thin type and chaotic sections which are not quite chaotic
Ivan Dynnikov, Alexandra Skripchenko
In a recent paper we constructed a family of foliated 2-complexes of thin type whose typical leaves have two topological ends. Here we present simpler examples of such complexes th…
Topology of quasiperiodic functions on the plane
I. Dynnikov, S. Novikov
The article describes a topological theory of quasiperiodic functions on the plane. The development of this theory was started (in different terminology) by the Moscow topology gro…