Distribution of orbits of geometrically finite groups acting on null vectors

Nattalie Tamam, Jacqueline M. Warren*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study the distribution of non-discrete orbits of geometrically finite groups in SO (n, 1) acting on Rn+1, and more generally on the quotient of SO (n, 1) by a horospherical subgroup. Using equidistribution of horospherical flows, we obtain both asymptotics for the distribution of orbits for the action of general geometrically finite groups, and we obtain quantitative statements with additional assumptions.

Original languageEnglish
Article number12
JournalGeometriae Dedicata
Issue number1
StatePublished - Feb 2022
Externally publishedYes


  • Discrete subgroups of Lie groups
  • Ergodic theory
  • Flows in homogeneous spaces
  • Homogeneous dynamics


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