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

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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 property of strongly positive recurrence.

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 property of strongly positive recurrence.

참고문헌 (13)

  1. P. Abramenko, "Buildings" (2008), Springer
  2. J. S. Athreya, "Ultrametric logarithm laws, II", Monatsh. Math, 167(3-4), pp.333~356 (2012)[DOI]
  3. D. I. Cartwright, "Harmonic analysis for groups acting on triangle buildings", J. Austral. Math. Soc. Ser. A, 56(3), pp.345~383 (1994)
  4. K. Golubev, "Spectrum and combinatorics of two-dimensional Ramanujan complexes", Israel J. Math, 230(2), pp.583~612 (2019)[DOI]
  5. S. Gouezel, "Pressure at infinity and strong positive recurrence in negative curvature", Comment. Math. Helv, 98(3), pp.431~508 (2023)[DOI]
  6. S. Hong, "Spectrum of weighted adjacency operator on a non-uniform arithmetic quotient of PGL3", Combinatorics and Number Theory, 13(2), pp.103~122 (2024)[DOI]
  7. M. -H. Kang, "Zeta functions of complexes arising from PGL(3)", Adv. Math, 256, pp.46~103 (2014)[DOI]
  8. S. Kwon, "Effective mixing and counting in Bruhat-Tits trees", Ergodic Theory Dynam. Systems, 38(1), pp.257~283 (2018)[DOI]
  9. S. Kwon, "Limiting distribution of geodesics in a geometrically finite quotients of regular trees", Groups Geom. Dyn, 15(1), pp.35~55 (2021)[DOI]
  10. S. Mozes, "Actions of Cartan subgroups", Israel J. Math, 90(1-3), pp.253~294 (1995)[DOI]
  11. F. Paulin, "On continued fraction expansions of quadratic irrationals in positive characteristic", Groups Geom. Dyn, 14(1), pp.81~105 (2020)[DOI]
  12. S. Ruette, "On the Vere-Jones classification and existence of maximal measures for countable topological Markov chains", Pacific J. Math, 209(2), pp.366~380 (2003)[DOI]
  13. R. Ruhr, "Effective intrinsic ergodicity for countable state Markov shifts", Israel J. Math, 251(2), pp.679~735 (2022)[DOI]

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