A Convexity Criterion for Unique Ergodicity of Interval Exchange Transformations
Rene R\"uhr
TL;DR
This paper introduces a convexity-based criterion to determine the unique ergodicity of points along a curve in the space of interval exchange transformations, advancing understanding of their dynamical properties.
Contribution
It provides a new convexity criterion specifically for establishing unique ergodicity in interval exchange transformations.
Findings
The criterion effectively identifies uniquely ergodic points.
It applies to curves in the space of interval exchange transformations.
The approach offers a new tool for studying dynamical systems.
Abstract
A criterion for unique ergodicity for points of a curve in the space of interval exchange transformation is given.
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