Dave Witte Morris
University of Lethbridge
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Featured researches published by Dave Witte Morris.
Algebraic & Geometric Topology | 2006
Dave Witte Morris
Let Gamma be a finitely generated, amenable group. Using an idea of E Ghys, we prove that if Gamma has a nontrivial, orientation-preserving action on the real line, then Gamma has an infinite, cyclic quotient. (The converse is obvious.) This implies that if Gamma has a faithful action on the circle, then some finite-index subgroup of Gamma has the property that all of its nontrivial, finitely generated subgroups have infinite, cyclic quotients. It also means that every left-orderable, amenable group is locally indicable. This answers a question of P Linnell.
Ergodic Theory and Dynamical Systems | 2005
Alex Eskin; Jens Marklof; Dave Witte Morris
There is a natural action of SL
Ars Mathematica Contemporanea | 2011
Klavdija Kutnar; Dragan Marušič; Dave Witte Morris; Joy Morris; Primož Šparl
(2,\mathbb{R})
Transactions of the American Mathematical Society | 2004
Hee Oh; Dave Witte Morris
on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup
Ars Mathematica Contemporanea | 2012
Stephen J. Curran; Dave Witte Morris; Joy Morris
U = \big\{\big(\begin{smallmatrix}1 & * \\ 0 & 1\end{smallmatrix}\big)\big\}
Ars Mathematica Contemporanea | 2013
Ebrahim Ghaderpour; Dave Witte Morris
. We classify the U -invariant ergodic measures on certain special submanifolds of the moduli space. (Each submanifold is the SL
Geometriae Dedicata | 2004
Alessandra Iozzi; Dave Witte Morris
(2,\mathbb{R})
International Journal of Combinatorics | 2011
Ebrahim Ghaderpour; Dave Witte Morris
-orbit of the set of branched covers of a fixed Veech surface.) For the U -action on these submanifolds, this is an analogue of Ratners theorem on unipotent flows. The result yields an asymptotic estimate of the number of periodic trajectories for billiards in a certain family of non-Veech rational triangles, namely, the isosceles triangles in which exactly one angle is
Ars Mathematica Contemporanea | 2015
Ademir Hujdurović; Klavdija Kutnar; Dave Witte Morris; Joy Morris
2 \pi/n
Ars Mathematica Contemporanea | 2014
Dave Witte Morris
, with