Date of Award
Spring 2023
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
First Advisor
Oh, Hee
Abstract
Let G be a connected semisimple real algebraic group and P < G be a minimal parabolic subgroup with Langlands decomposition P = MAN. Let Γ < G be a Zariski dense Anosov subgroup with respect to P. Since Γ is Anosov, the set of conjugacy classes of primitive elements of Γ is in one-to-one correspondence with the set of (positively oriented) maximal flat cylinders in Γ\G/M. We describe the joint equidistribution of maximal flat cylinders and their holonomies as their circumferences tend to infinity. This result can be viewed as the Anosov analogue of the joint equidistribution result in rank one by Margulis-Mohammadi-Oh.
Recommended Citation
Fromm, Elijah, "Joint Equidistribution of Maximal Flat Cylinders and Holonomies for Anosov Homogeneous Spaces" (2023). Yale Graduate School of Arts and Sciences Dissertations. 990.
https://elischolar.library.yale.edu/gsas_dissertations/990
