Constructing non-uniquely ergodic arational trees

TL;DR

This paper presents a method to construct arational trees that are non-uniquely ergodic and non-geometric, expanding understanding of the structure of such trees in geometric group theory.

Contribution

It introduces a novel adaptation of Gabai's idea to explicitly construct non-uniquely ergodic, non-geometric arational trees.

Findings

Construction of non-uniquely ergodic arational trees

Extension of Gabai's ideas to new tree classes

Insights into the structure of non-geometric trees

Abstract

In this technical note, we adapt an idea of Gabai to construct non-uniquely ergodic, non-geometric, arational trees.