Ergodic Measures in Strata
Mladen Bestvina, Jon Chaika, Sebastian Hensel
TL;DR
This paper investigates the number of ergodic measures within each stratum of geodesic laminations on surfaces, providing a detailed classification relevant to dynamical systems and geometric topology.
Contribution
It offers a comprehensive determination of ergodic measures in each stratum, advancing understanding of the measure-theoretic structure of geodesic laminations.
Findings
Exact counts of ergodic measures per stratum
Classification of measure types in laminations
Insights into dynamical behavior of geodesic flows
Abstract
We determine the number of ergodic measures in each stratum of geodesic laminations on a surface.
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