26 citations · 27 across the 6 of their papers we have counts for
7 papers
Divergent torus orbits in homogeneous spaces of Q-rank two
Pralay Chatterjee, Dave Witte Morris
Let G be the real points of a semisimple algebraic Q-group, let H be an arithmetic subgroup of G and let T be the real points of an R-split torus in G. We prove that if there is a…
Unipotent flows on the space of branched covers of Veech surfaces
Alex Eskin, Jens Marklof, Dave Witte Morris
There is a natural action of SL(2,R) on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup $U = {\begin{pmatrix} 1 & * 0 & 1 \end{pmatrix…
Isotropic nonarchimedean S-arithmetic groups are not left orderable
Lucy Lifschitz, Dave Morris
Let A = Z[c], where c is an irrational number whose square is rational, or let A = Z[1/r], where r > 1 is a square-free natural number. We show that no finite-index subgroup of SL(…
Non-ergodic actions, cocycles and superrigidity
D. Fisher, D. Morris, K. Whyte
This paper proves various results concerning non-ergodic actions of locally compact groups and particularly Borel cocycles defined over such actions. The general philosophy is to r…
Flows that are sums of hamiltonian cycles in Cayley graphs on abelian groups
Dave Morris, Joy Morris, David P. Moulton
If X is any connected Cayley graph on any finite abelian group, we determine precisely which flows on X can be written as a sum of hamiltonian cycles. (This answers a question of B…
Ergodic actions of semisimple Lie groups on compact principal bundles
Dave Witte, Robert J. Zimmer
Let G = SL(n,R) (or, more generally, let G be a connected, noncompact, simple Lie group). For any compact Lie group K, it is easy to find a compact manifold M, such that there is a…