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

Sanghoon Kwon

paper

Transition probability of discrete geodesic flow on the standard non-uniform quotient of $P G L_{3}$

arXiv:2401.11747

Abstract

We describe the local transition probability of a singular diagonal action on the standard non-uniform quotient of $P G L_{3}$ associated to the type 1 geodesic flow. As a consequence, we deduce the strongly positive recurrence property of the geodesic flow.

11 pages, 6 figures

Transition probability of discrete geodesic flow on the standard non-uniform quotient of PGL3​

Abstract

Transition probability of discrete geodesic flow on the standard non-uniform quotient of $P G L_{3}$