Bruin-Troubetzkoy family of interval translation mappings: a new glance

Alexandra Skripchenko (Higher School of Economics)

04-Oct-2022, 12:30-13:00 (18 months ago)

Abstract: In 2002 H. Bruin and S. Troubetzkoy described a special class of interval translation mappings on three intervals. They showed that in this class the typical ITM could be reduced to an interval exchange transformations. They also proved that generic ITM of their class that can not be reduced to IET is uniquely ergodic.

We suggest an alternative proof of the first statement and get a stronger version of the second one. It is a joint work in progress with Mauro Artigiani and Pascal Hubert.

dynamical systemsnumber theory

Audience: researchers in the topic


One World Numeration seminar

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