On the distribution of the components of multicurves of given type
Viveka Erlandsson, Juan Souto
TL;DR
This paper investigates how the components of a random multicurve are distributed when acted upon by the mapping class group, providing insights into their statistical properties.
Contribution
It introduces a new analysis of the distribution of multicurve components under the mapping class group action, advancing understanding in geometric topology.
Findings
Distribution patterns of multicurve components identified
Statistical properties of multicurves characterized
Implications for geometric topology discussed
Abstract
We study the distribution of the individual components of a random multicurve under the action of the mapping class group.
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Taxonomy
Topicsadvanced mathematical theories