40 citations · 84 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
On the Hausdorf Dimension of Minimal Interval Exchange Transformations with Flips
Alexandra Skripchenko, Serge Troubetzkoy
We prove linear upper and lower bounds for the Hausdorff dimension set of minimal interval exchange transformations with flips (in particular without periodic points), and a linear…
Entropy and Complexity of Polygonal Billiards with Spy Mirrors
Alexandra Skripchenko, Serge Troubetzkoy
We prove that a polygonal billiard with one-sided mirrors has zero topological entropy. In certain cases we show sub exponential and for other polynomial estimates on the complexit…
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…