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arXiv · 2401.11747

Transition probability of discrete geodesic flow on the standard non-uniform quotient of $PGL_3$

Sanghoon Kwon
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Abstract

We describe the local transition probability of a singular diagonal action on the standard non-uniform quotient of $PGL_3$ associated to the type 1 geodesic flow. As a consequence, we deduce the strongly positive recurrence property of the geodesic flow.

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Sanghoon Kwon. 2024-01-22. Transition probability of discrete geodesic flow on the standard non-uniform quotient of $PGL_3$. https://arxiv.org/abs/2401.11747

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