New time-changes of unipotent flows on quotients of Lorentz groups
Dynamical Systems
2021-07-08 v2 Representation Theory
Abstract
We study the cocompact lattices so that the Laplace-Beltrami operator on has eigenvalues in , and then show that there exist time-changes of unipotent flows on that are not measurably conjugate to the unperturbed ones. A main ingredient of the proof is a stronger version of the branching of the complementary series. Combining it with a refinement of the works of Ratner and Flaminio-Forni is adequate for our purpose.
Keywords
Cite
@article{arxiv.2009.06552,
title = {New time-changes of unipotent flows on quotients of Lorentz groups},
author = {Siyuan Tang},
journal= {arXiv preprint arXiv:2009.06552},
year = {2021}
}